28892745720 has 192 divisors, whose sum is σ = 95103590400. Its totient is φ = 7606736640.

The previous prime is 28892745697. The next prime is 28892745769. The reversal of 28892745720 is 2754729882.

28892745720 is a `hidden beast` number, since 2 + 88 + 92 + 7 + 457 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9556129 + ... + 9559151.

It is an arithmetic number, because the mean of its divisors is an integer number (495331200).

Almost surely, 2^28892745720 is an apocalyptic number.

28892745720 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 28892745720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47551795200).

28892745720 is an abundant number, since it is smaller than the sum of its proper divisors (66210844680).

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

28892745720 is a wasteful number, since it uses less digits than its factorization.

28892745720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 28892745720 in words is "twenty-eight billion, eight hundred ninety-two million, seven hundred forty-five thousand, seven hundred twenty".