28731247333200 has 150 divisors (see below), whose sum is σ = 103114141201214. Its totient is φ = 7661665946880.

The previous prime is 28731247333183. The next prime is 28731247333331. The reversal of 28731247333200 is 233374213782.

28731247333200 is a `hidden beast` number, since 2 + 8 + 7 + 312 + 4 + 7 + 3 + 3 + 320 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 441018184464 + 28290229148736 = 664092^2 + 5318856^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×28731247333200² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 443351047 + ... + 443415846.

Almost surely, 2^{28731247333200} is an apocalyptic number.

28731247333200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28731247333200 is an abundant number, since it is smaller than the sum of its proper divisors (74382893868014).

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

28731247333200 is a wasteful number, since it uses less digits than its factorization.

28731247333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886766923 (or 886766903 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 28731247333200 in words is "twenty-eight trillion, seven hundred thirty-one billion, two hundred forty-seven million, three hundred thirty-three thousand, two hundred".