28762618696560 has 480 divisors, whose sum is σ = 114056311928832. Its totient is φ = 6358318663680.

The previous prime is 28762618696549. The next prime is 28762618696627. The reversal of 28762618696560 is 6569681626782.

28762618696560 is a `hidden beast` number, since 28 + 7 + 6 + 26 + 18 + 6 + 9 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 30680365 + ... + 31603955.

Almost surely, 2^{28762618696560} is an apocalyptic number.

28762618696560 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 28762618696560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57028155964416).

28762618696560 is an abundant number, since it is smaller than the sum of its proper divisors (85293693232272).

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

28762618696560 is a wasteful number, since it uses less digits than its factorization.

28762618696560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923821 (or 923812 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 28762618696560 in words is "twenty-eight trillion, seven hundred sixty-two billion, six hundred eighteen million, six hundred ninety-six thousand, five hundred sixty".