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628228848 = 243131397243
BaseRepresentation
bin100101011100100…
…000001011110000
31121210010022222010
4211130200023300
52241311310343
6142201042520
721365566662
oct4534401360
91553108863
10628228848
112a26896a5
12156486440
13a0200660
145d614532
153a246d33
hex257202f0

628228848 has 80 divisors (see below), whose sum is σ = 1760581760. Its totient is φ = 191884032.

The previous prime is 628228847. The next prime is 628228859. The reversal of 628228848 is 848822826.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 628228797 and 628228806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628228847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83115 + ... + 90357.

It is an arithmetic number, because the mean of its divisors is an integer number (22007272).

Almost surely, 2628228848 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 628228848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880290880).

628228848 is an abundant number, since it is smaller than the sum of its proper divisors (1132352912).

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

628228848 is a wasteful number, since it uses less digits than its factorization.

628228848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7406 (or 7400 counting only the distinct ones).

The product of its digits is 786432, while the sum is 48.

The square root of 628228848 is about 25064.4937710699. The cubic root of 628228848 is about 856.4577791317.

The spelling of 628228848 in words is "six hundred twenty-eight million, two hundred twenty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 139 156 208 278 312 417 556 624 834 1112 1668 1807 2224 3336 3614 5421 6672 7228 7243 10842 14456 14486 21684 21729 28912 28972 43368 43458 57944 86736 86916 94159 115888 173832 188318 282477 347664 376636 564954 753272 1006777 1129908 1506544 2013554 2259816 3020331 4027108 4519632 6040662 8054216 12081324 13088101 16108432 24162648 26176202 39264303 48325296 52352404 78528606 104704808 157057212 209409616 314114424 628228848