102928514832000 has 4096 divisors, whose sum is σ = 466858996531200. Its totient is φ = 21946982400000.

The previous prime is 102928514831897. The next prime is 102928514832041. The reversal of 102928514832000 is 238415829201.

102928514832000 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 285 + 1 + 48 + 320 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 135968975622 + ... + 135968976378.

It is an arithmetic number, because the mean of its divisors is an integer number (113979247200).

Almost surely, 2^{102928514832000} is an apocalyptic number.

102928514832000 is a gapful number since it is divisible by the number (10) 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 102928514832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233429498265600).

102928514832000 is an abundant number, since it is smaller than the sum of its proper divisors (363930481699200).

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

102928514832000 is a wasteful number, since it uses less digits than its factorization.

102928514832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 102928514832000 in words is "one hundred two trillion, nine hundred twenty-eight billion, five hundred fourteen million, eight hundred thirty-two thousand".