28965120 has 144 divisors (see below), whose sum is σ = 97621440. Its totient is φ = 7299072.

The previous prime is 28965103. The next prime is 28965133. The reversal of 28965120 is 2156982.

It is a super-2 number, since 2×28965120² = 1677956353228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72762 + ... + 73158.

Almost surely, 2^28965120 is an apocalyptic number.

28965120 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 28965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48810720).

28965120 is an abundant number, since it is smaller than the sum of its proper divisors (68656320).

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

28965120 is a wasteful number, since it uses less digits than its factorization.

28965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 426 counting only the distinct ones).

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

The square root of 28965120 is about 5381.9253060592. The cubic root of 28965120 is about 307.1084579673.

The spelling of 28965120 in words is "twenty-eight million, nine hundred sixty-five thousand, one hundred twenty".