28973160 has 128 divisors (see below), whose sum is σ = 97776000. Its totient is φ = 7630848.

The previous prime is 28973159. The next prime is 28973173. The reversal of 28973160 is 6137982.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150024 + ... + 150216.

It is an arithmetic number, because the mean of its divisors is an integer number (763875).

Almost surely, 2^28973160 is an apocalyptic number.

28973160 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 28973160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48888000).

28973160 is an abundant number, since it is smaller than the sum of its proper divisors (68802840).

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

28973160 is a wasteful number, since it uses less digits than its factorization.

28973160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 28973160 is about 5382.6721988247. The cubic root of 28973160 is about 307.1368705727.

The spelling of 28973160 in words is "twenty-eight million, nine hundred seventy-three thousand, one hundred sixty".