28920222931600 has 1920 divisors, whose sum is σ = 101772686131200. Its totient is φ = 7599926476800.

The previous prime is 28920222931591. The next prime is 28920222931627. The reversal of 28920222931600 is 613922202982.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 35748111996 + ... + 35748112804.

It is an arithmetic number, because the mean of its divisors is an integer number (53006607360).

Almost surely, 2^{28920222931600} is an apocalyptic number.

28920222931600 is a gapful number since it is divisible by the number (20) 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 28920222931600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50886343065600).

28920222931600 is an abundant number, since it is smaller than the sum of its proper divisors (72852463199600).

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

28920222931600 is a wasteful number, since it uses less digits than its factorization.

28920222931600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 28920222931600 in words is "twenty-eight trillion, nine hundred twenty billion, two hundred twenty-two million, nine hundred thirty-one thousand, six hundred".