28531473600 has 672 divisors, whose sum is σ = 111117888000. Its totient is φ = 6274252800.

The previous prime is 28531473587. The next prime is 28531473601. The reversal of 28531473600 is 637413582.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (28531473601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191486326 + ... + 191486474.

It is an arithmetic number, because the mean of its divisors is an integer number (165354000).

Almost surely, 2^28531473600 is an apocalyptic number.

28531473600 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 28531473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55558944000).

28531473600 is an abundant number, since it is smaller than the sum of its proper divisors (82586414400).

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

28531473600 is a wasteful number, since it uses less digits than its factorization.

28531473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 28531473600 in words is "twenty-eight billion, five hundred thirty-one million, four hundred seventy-three thousand, six hundred".