28652145984 has 896 divisors, whose sum is σ = 113765990400. Its totient is φ = 6843432960.

The previous prime is 28652145959. The next prime is 28652146009. The reversal of 28652145984 is 48954125682.

28652145984 is a `hidden beast` number, since 28 + 6 + 5 + 21 + 4 + 598 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (28652145959) and next prime (28652146009).

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

It is a self number, because there is not a number n which added to its sum of digits gives 28652145984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119883337 + ... + 119883575.

Almost surely, 2^28652145984 is an apocalyptic number.

28652145984 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 28652145984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56882995200).

28652145984 is an abundant number, since it is smaller than the sum of its proper divisors (85113844416).

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

28652145984 is a wasteful number, since it uses less digits than its factorization.

28652145984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 332 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 28652145984 in words is "twenty-eight billion, six hundred fifty-two million, one hundred forty-five thousand, nine hundred eighty-four".