28079400 has 96 divisors (see below), whose sum is σ = 88788960. Its totient is φ = 7338240.

The previous prime is 28079399. The next prime is 28079407. The reversal of 28079400 is 497082.

It is a Cunningham number, because it is equal to 5299²-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (28079407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31359 + ... + 32241.

It is an arithmetic number, because the mean of its divisors is an integer number (924885).

Almost surely, 2^28079400 is an apocalyptic number.

28079400 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 28079400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44394480).

28079400 is an abundant number, since it is smaller than the sum of its proper divisors (60709560).

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

28079400 is a wasteful number, since it uses less digits than its factorization.

28079400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 28079400 is about 5298.9999056426. Note that the first 4 decimals coincide. The cubic root of 28079400 is about 303.9456562601.

The spelling of 28079400 in words is "twenty-eight million, seventy-nine thousand, four hundred".