28183694400 has 189 divisors, whose sum is σ = 100243157781. Its totient is φ = 7510279680.

The previous prime is 28183694393. The next prime is 28183694411. The reversal of 28183694400 is 449638182.

It is a happy number.

The square root of 28183694400 is 167880.

It is a perfect power (a square), and thus also a powerful number.

28183694400 is a `hidden beast` number, since 2 + 8 + 183 + 69 + 4 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10146129984 + 18037564416 = 100728^2 + 134304^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20144901 + ... + 20146299.

Almost surely, 2^28183694400 is an apocalyptic number.

28183694400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28183694400 is the 167880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28183694400

28183694400 is an abundant number, since it is smaller than the sum of its proper divisors (72059463381).

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

28183694400 is an equidigital number, since it uses as much as digits as its factorization.

28183694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 28183694400 in words is "twenty-eight billion, one hundred eighty-three million, six hundred ninety-four thousand, four hundred".