28512792 has 192 divisors, whose sum is σ = 99590400. Its totient is φ = 7153920.

The previous prime is 28512779. The next prime is 28512793. The reversal of 28512792 is 29721582.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28512793) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205059 + ... + 205197.

It is an arithmetic number, because the mean of its divisors is an integer number (518700).

Almost surely, 2^28512792 is an apocalyptic number.

28512792 is a gapful number since it is divisible by the number (22) 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 28512792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49795200).

28512792 is an abundant number, since it is smaller than the sum of its proper divisors (71077608).

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

28512792 is a wasteful number, since it uses less digits than its factorization.

28512792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 199 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 28512792 is about 5339.7370721787. The cubic root of 28512792 is about 305.5014308441.

It can be divided in two parts, 28512 and 792, that multiplied together give a square (22581504 = 4752²).

The spelling of 28512792 in words is "twenty-eight million, five hundred twelve thousand, seven hundred ninety-two".