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628540416 = 2103279743
BaseRepresentation
bin100101011101101…
…100010000000000
31121210201011100200
4211131230100000
52241401243131
6142211445200
721401335230
oct4535542000
91553634320
10628540416
112a2881799
121565b6800
13a02ac40a
145d695cc0
153a2a92e6
hex2576c400

628540416 has 132 divisors (see below), whose sum is σ = 2074380672. Its totient is φ = 179564544.

The previous prime is 628540397. The next prime is 628540427. The reversal of 628540416 is 614045826.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59641 + ... + 69383.

Almost surely, 2628540416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037190336).

628540416 is an abundant number, since it is smaller than the sum of its proper divisors (1445840256).

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

628540416 is a wasteful number, since it uses less digits than its factorization.

628540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9776 (or 9755 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 628540416 is about 25070.7083266508. The cubic root of 628540416 is about 856.5993415240.

The spelling of 628540416 in words is "six hundred twenty-eight million, five hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 7168 8064 9216 9743 10752 16128 19486 21504 29229 32256 38972 58458 64512 68201 77944 87687 116916 136402 155888 175374 204603 233832 272804 311776 350748 409206 467664 545608 613809 623552 701496 818412 935328 1091216 1227618 1247104 1402992 1636824 1870656 2182432 2455236 2494208 2805984 3273648 3741312 4364864 4910472 4988416 5611968 6547296 7482624 8729728 9820944 9976832 11223936 13094592 14965248 17459456 19641888 22447872 26189184 29930496 34918912 39283776 44895744 52378368 69837824 78567552 89791488 104756736 157135104 209513472 314270208 628540416