28838160 has 240 divisors, whose sum is σ = 108921600. Its totient is φ = 7008768.

The previous prime is 28838099. The next prime is 28838167. The reversal of 28838160 is 6183882.

It is a tau number, because it is divible by the number of its divisors (240).

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 (28838167) 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, 365001 + ... + 365079.

It is an arithmetic number, because the mean of its divisors is an integer number (453840).

Almost surely, 2^28838160 is an apocalyptic number.

28838160 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 28838160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54460800).

28838160 is an abundant number, since it is smaller than the sum of its proper divisors (80083440).

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

28838160 is a wasteful number, since it uses less digits than its factorization.

28838160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 28838160 is about 5370.1173171543. The cubic root of 28838160 is about 306.6590945410.

The spelling of 28838160 in words is "twenty-eight million, eight hundred thirty-eight thousand, one hundred sixty".