96628457520 has 400 divisors, whose sum is σ = 384096398400. Its totient is φ = 22054975488.

The previous prime is 96628457477. The next prime is 96628457539. The reversal of 96628457520 is 2575482669.

96628457520 is a `hidden beast` number, since 9 + 6 + 62 + 8 + 4 + 57 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49577506 + ... + 49579454.

It is an arithmetic number, because the mean of its divisors is an integer number (960240996).

Almost surely, 2^96628457520 is an apocalyptic number.

96628457520 is a gapful number since it is divisible by the number (90) 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 96628457520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192048199200).

96628457520 is an abundant number, since it is smaller than the sum of its proper divisors (287467940880).

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

96628457520 is a wasteful number, since it uses less digits than its factorization.

96628457520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 96628457520 in words is "ninety-six billion, six hundred twenty-eight million, four hundred fifty-seven thousand, five hundred twenty".