28615570513920 has 1344 divisors, whose sum is σ = 117306993061440. Its totient is φ = 6628980031488.

The previous prime is 28615570513909. The next prime is 28615570513961. The reversal of 28615570513920 is 2931507551682.

28615570513920 is a `hidden beast` number, since 2 + 8 + 6 + 1 + 55 + 70 + 513 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2199668376 + ... + 2199681384.

It is an arithmetic number, because the mean of its divisors is an integer number (87281988885).

Almost surely, 2^{28615570513920} is an apocalyptic number.

28615570513920 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 28615570513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58653496530720).

28615570513920 is an abundant number, since it is smaller than the sum of its proper divisors (88691422547520).

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

28615570513920 is a wasteful number, since it uses less digits than its factorization.

28615570513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13085 (or 13049 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 28615570513920 in words is "twenty-eight trillion, six hundred fifteen billion, five hundred seventy million, five hundred thirteen thousand, nine hundred twenty".