28879200 has 288 divisors, whose sum is σ = 119992320. Its totient is φ = 6566400.

The previous prime is 28879181. The next prime is 28879217. The reversal of 28879200 is 297882.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151105 + ... + 151295.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 2^28879200 is an apocalyptic number.

28879200 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 28879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996160).

28879200 is an abundant number, since it is smaller than the sum of its proper divisors (91113120).

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

28879200 is a wasteful number, since it uses less digits than its factorization.

28879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 28879200 is about 5373.9371042095. The cubic root of 28879200 is about 306.8044959103.

The spelling of 28879200 in words is "twenty-eight million, eight hundred seventy-nine thousand, two hundred".