28312960 has 128 divisors (see below), whose sum is σ = 75569760. Its totient is φ = 10076160.

The previous prime is 28312957. The next prime is 28312981. The reversal of 28312960 is 6921382.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341079 + ... + 341161.

Almost surely, 2^28312960 is an apocalyptic number.

28312960 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 28312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37784880).

28312960 is an abundant number, since it is smaller than the sum of its proper divisors (47256800).

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

28312960 is a wasteful number, since it uses less digits than its factorization.

28312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 28312960 is about 5320.9923886433. The cubic root of 28312960 is about 304.7860543859.

The spelling of 28312960 in words is "twenty-eight million, three hundred twelve thousand, nine hundred sixty".