10032638984928 has 384 divisors, whose sum is σ = 34366927795200. Its totient is φ = 2787773054976.

The previous prime is 10032638984917. The next prime is 10032638984941. The reversal of 10032638984928 is 82948983623001.

10032638984928 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 2 + 63 + 89 + 8 + 492 + 8 = 666.

It is a super-2 number, since 2×10032638984928² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60512128 + ... + 60677696.

It is an arithmetic number, because the mean of its divisors is an integer number (89497207800).

Almost surely, 2^{10032638984928} is an apocalyptic number.

10032638984928 is a gapful number since it is divisible by the number (18) 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 10032638984928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17183463897600).

10032638984928 is an abundant number, since it is smaller than the sum of its proper divisors (24334288810272).

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

10032638984928 is a wasteful number, since it uses less digits than its factorization.

10032638984928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165871 (or 165857 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 10032638984928 in words is "ten trillion, thirty-two billion, six hundred thirty-eight million, nine hundred eighty-four thousand, nine hundred twenty-eight".