28152960 has 256 divisors, whose sum is σ = 103403520. Its totient is φ = 6451200.

The previous prime is 28152959. The next prime is 28152973. The reversal of 28152960 is 6925182.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654699 + ... + 654741.

It is an arithmetic number, because the mean of its divisors is an integer number (403920).

Almost surely, 2^28152960 is an apocalyptic number.

28152960 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 28152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51701760).

28152960 is an abundant number, since it is smaller than the sum of its proper divisors (75250560).

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

28152960 is a wasteful number, since it uses less digits than its factorization.

28152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 28152960 is about 5305.9362981476. The cubic root of 28152960 is about 304.2108417315.

It can be divided in two parts, 2815 and 2960, that added together give a palindrome (5775).

The spelling of 28152960 in words is "twenty-eight million, one hundred fifty-two thousand, nine hundred sixty".