28120587264 has 1320 divisors, whose sum is σ = 115881849072. Its totient is φ = 6688604160.

The previous prime is 28120587259. The next prime is 28120587277. The reversal of 28120587264 is 46278502182.

28120587264 is a `hidden beast` number, since 2 + 8 + 1 + 2 + 0 + 587 + 2 + 64 = 666.

It is a super-3 number, since 3×28120587264³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 760015854 + ... + 760015890.

Almost surely, 2^28120587264 is an apocalyptic number.

28120587264 is a gapful number since it is divisible by the number (24) 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 28120587264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57940924536).

28120587264 is an abundant number, since it is smaller than the sum of its proper divisors (87761261808).

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

28120587264 is a wasteful number, since it uses less digits than its factorization.

28120587264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 28120587264 in words is "twenty-eight billion, one hundred twenty million, five hundred eighty-seven thousand, two hundred sixty-four".