28620775249920 has 1920 divisors, whose sum is σ = 123794470800000. Its totient is φ = 6314488233984.

The previous prime is 28620775249901. The next prime is 28620775250009. The reversal of 28620775249920 is 2994257702682.

28620775249920 is a `hidden beast` number, since 2 + 8 + 6 + 2 + 0 + 77 + 52 + 499 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 159 ways as a sum of consecutive naturals, for example, 8250437946 + ... + 8250441414.

It is an arithmetic number, because the mean of its divisors is an integer number (64476286875).

Almost surely, 2^{28620775249920} is an apocalyptic number.

28620775249920 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 28620775249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61897235400000).

28620775249920 is an abundant number, since it is smaller than the sum of its proper divisors (95173695550080).

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

28620775249920 is an equidigital number, since it uses as much as digits as its factorization.

28620775249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 28620775249920 in words is "twenty-eight trillion, six hundred twenty billion, seven hundred seventy-five million, two hundred forty-nine thousand, nine hundred twenty".