28588046400 has 189 divisors, whose sum is σ = 101680832071. Its totient is φ = 7618068480.

The previous prime is 28588046371. The next prime is 28588046407. The reversal of 28588046400 is 464088582.

The square root of 28588046400 is 169080.

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

28588046400 is a `hidden beast` number, since 2 + 8 + 588 + 0 + 4 + 64 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15117194304 + 13470852096 = 122952^2 + 116064^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28588046407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20288896 + ... + 20290304.

Almost surely, 2^28588046400 is an apocalyptic number.

28588046400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28588046400 is the 169080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28588046400

28588046400 is an abundant number, since it is smaller than the sum of its proper divisors (73092785671).

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

28588046400 is an equidigital number, since it uses as much as digits as its factorization.

28588046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 28588046400 in words is "twenty-eight billion, five hundred eighty-eight million, forty-six thousand, four hundred".