28634400 has 216 divisors, whose sum is σ = 104501124. Its totient is φ = 7372800.

The previous prime is 28634399. The next prime is 28634401. The reversal of 28634400 is 443682.

28634400 is a `hidden beast` number, since 28 + 634 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28634399) and next prime (28634401).

It can be written as a sum of positive squares in 6 ways, for example, as 3111696 + 25522704 = 1764^2 + 5052^2 .

It is not an unprimeable number, because it can be changed into a prime (28634401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 295152 + ... + 295248.

Almost surely, 2^28634400 is an apocalyptic number.

28634400 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 28634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52250562).

28634400 is an abundant number, since it is smaller than the sum of its proper divisors (75866724).

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

28634400 is a wasteful number, since it uses less digits than its factorization.

28634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 28634400 is about 5351.1120339608. The cubic root of 28634400 is about 305.9351393992.

The spelling of 28634400 in words is "twenty-eight million, six hundred thirty-four thousand, four hundred".