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628404224 = 2127231101
BaseRepresentation
bin100101011101001…
…011000000000000
31121210110020112112
4211131023000000
52241332413344
6142204514452
721400230200
oct4535130000
91553406475
10628404224
112a2799438
1215654ba28
13a0262426
145d65c400
153a27dc9e
hex2574b000

628404224 has 156 divisors (see below), whose sum is σ = 1523919168. Its totient is φ = 258048000.

The previous prime is 628404223. The next prime is 628404239. The reversal of 628404224 is 422404826.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (628404223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6221774 + ... + 6221874.

Almost surely, 2628404224 is an apocalyptic number.

628404224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761959584).

628404224 is an abundant number, since it is smaller than the sum of its proper divisors (895514944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

628404224 is a wasteful number, since it uses less digits than its factorization.

628404224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 628404224 is about 25067.9920216997. The cubic root of 628404224 is about 856.5374678021.

The spelling of 628404224 in words is "six hundred twenty-eight million, four hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 101 112 124 128 196 202 217 224 248 256 392 404 434 448 496 512 707 784 808 868 896 992 1024 1414 1519 1568 1616 1736 1792 1984 2048 2828 3038 3131 3136 3232 3472 3584 3968 4096 4949 5656 6076 6262 6272 6464 6944 7168 7936 9898 11312 12152 12524 12544 12928 13888 14336 15872 19796 21917 22624 24304 25048 25088 25856 27776 28672 31744 39592 43834 45248 48608 50096 50176 51712 55552 63488 79184 87668 90496 97216 100192 100352 103424 111104 126976 153419 158368 175336 180992 194432 200384 200704 206848 222208 306838 316736 350672 361984 388864 400768 413696 444416 613676 633472 701344 723968 777728 801536 888832 1227352 1266944 1402688 1447936 1555456 1603072 2454704 2533888 2805376 2895872 3110912 3206144 4909408 5067776 5610752 6221824 6412288 9818816 10135552 11221504 12824576 19637632 20271104 22443008 39275264 44886016 78550528 89772032 157101056 314202112 628404224