28752615360 has 672 divisors, whose sum is σ = 118598118912. Its totient is φ = 6494515200.

The previous prime is 28752615343. The next prime is 28752615379. The reversal of 28752615360 is 6351625782.

28752615360 is a `hidden beast` number, since 2 + 8 + 7 + 52 + 61 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 54976059 + ... + 54976581.

It is an arithmetic number, because the mean of its divisors is an integer number (176485296).

Almost surely, 2^28752615360 is an apocalyptic number.

28752615360 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 28752615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59299059456).

28752615360 is an abundant number, since it is smaller than the sum of its proper divisors (89845503552).

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

28752615360 is a wasteful number, since it uses less digits than its factorization.

28752615360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 28752615360 in words is "twenty-eight billion, seven hundred fifty-two million, six hundred fifteen thousand, three hundred sixty".