28469939097600 has 4992 divisors, whose sum is σ = 143278722908160. Its totient is φ = 5417769369600.

The previous prime is 28469939097547. The next prime is 28469939097619. The reversal of 28469939097600 is 679093996482.

28469939097600 is a `hidden beast` number, since 2 + 8 + 4 + 6 + 9 + 9 + 3 + 9 + 0 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 224172748737 + ... + 224172748863.

Almost surely, 2^{28469939097600} is an apocalyptic number.

28469939097600 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 28469939097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71639361454080).

28469939097600 is an abundant number, since it is smaller than the sum of its proper divisors (114808783810560).

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

28469939097600 is a wasteful number, since it uses less digits than its factorization.

28469939097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 28469939097600 in words is "twenty-eight trillion, four hundred sixty-nine billion, nine hundred thirty-nine million, ninety-seven thousand, six hundred".