28910115259200 has 2520 divisors, whose sum is σ = 127819647352320. Its totient is φ = 6271910092800.

The previous prime is 28910115259183. The next prime is 28910115259237. The reversal of 28910115259200 is 295251101982.

It is a happy number.

28910115259200 is a `hidden beast` number, since 2 + 8 + 9 + 1 + 0 + 1 + 1 + 52 + 592 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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 (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 126245044686 + ... + 126245044914.

Almost surely, 2^{28910115259200} is an apocalyptic number.

28910115259200 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 28910115259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63909823676160).

28910115259200 is an abundant number, since it is smaller than the sum of its proper divisors (98909532093120).

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

28910115259200 is a wasteful number, since it uses less digits than its factorization.

28910115259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 28910115259200 in words is "twenty-eight trillion, nine hundred ten billion, one hundred fifteen million, two hundred fifty-nine thousand, two hundred".