28951200 has 108 divisors (see below), whose sum is σ = 102114558. Its totient is φ = 7718400.

The previous prime is 28951199. The next prime is 28951211. The reversal of 28951200 is 215982.

It can be written as a sum of positive squares in 3 ways, for example, as 13927824 + 15023376 = 3732^2 + 3876^2 .

It is a nialpdrome in base 12.

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 17 ways as a sum of consecutive naturals, for example, 5190 + ... + 9210.

Almost surely, 2^28951200 is an apocalyptic number.

28951200 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 28951200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51057279).

28951200 is an abundant number, since it is smaller than the sum of its proper divisors (73163358).

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

28951200 is a wasteful number, since it uses less digits than its factorization.

28951200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4047 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 28951200 is about 5380.6319331469. The cubic root of 28951200 is about 307.0592535595.

It can be divided in two parts, 2895 and 1200, that added together give a triangular number (4095 = T₉₀).

The spelling of 28951200 in words is "twenty-eight million, nine hundred fifty-one thousand, two hundred".