100672926728 has 256 divisors, whose sum is σ = 224423136000. Its totient is φ = 41906995200.

The previous prime is 100672926703. The next prime is 100672926743. The reversal of 100672926728 is 827629276001.

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, 890910800 + ... + 890910912.

It is an arithmetic number, because the mean of its divisors is an integer number (876652875).

Almost surely, 2^100672926728 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 100672926728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112211568000).

100672926728 is an abundant number, since it is smaller than the sum of its proper divisors (123750209272).

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

100672926728 is a wasteful number, since it uses less digits than its factorization.

100672926728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The spelling of 100672926728 in words is "one hundred billion, six hundred seventy-two million, nine hundred twenty-six thousand, seven hundred twenty-eight".