28058400 has 180 divisors, whose sum is σ = 102559842. Its totient is φ = 7464960.

The previous prime is 28058377. The next prime is 28058411. The reversal of 28058400 is 485082.

28058400 is a `hidden beast` number, since 2 + 80 + 584 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 14837904 + 13220496 = 3852^2 + 3636^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64584 + ... + 65016.

Almost surely, 2^28058400 is an apocalyptic number.

28058400 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 28058400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51279921).

28058400 is an abundant number, since it is smaller than the sum of its proper divisors (74501442).

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

28058400 is a wasteful number, since it uses less digits than its factorization.

28058400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 28058400 is about 5297.0180290424. The cubic root of 28058400 is about 303.8698658153.

The spelling of 28058400 in words is "twenty-eight million, fifty-eight thousand, four hundred".