28892160 has 352 divisors, whose sum is σ = 117907200. Its totient is φ = 6635520.

The previous prime is 28892137. The next prime is 28892183. The reversal of 28892160 is 6129882.

It is an interprime number because it is at equal distance from previous prime (28892137) and next prime (28892183).

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a congruent number.

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, 1520631 + ... + 1520649.

Almost surely, 2^28892160 is an apocalyptic number.

28892160 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 28892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58953600).

28892160 is an abundant number, since it is smaller than the sum of its proper divisors (89015040).

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

28892160 is a wasteful number, since it uses less digits than its factorization.

28892160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 28892160 is about 5375.1427888011. The cubic root of 28892160 is about 306.8503835113.

The spelling of 28892160 in words is "twenty-eight million, eight hundred ninety-two thousand, one hundred sixty".