28997492659200 has 3168 divisors, whose sum is σ = 123610418426880. Its totient is φ = 6642155520000.

The previous prime is 28997492659199. The next prime is 28997492659207. The reversal of 28997492659200 is 295629479982.

28997492659200 is a `hidden beast` number, since 2 + 8 + 9 + 9 + 7 + 4 + 9 + 26 + 592 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28997492659207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 115527859075 + ... + 115527859325.

It is an arithmetic number, because the mean of its divisors is an integer number (39018440160).

Almost surely, 2^{28997492659200} is an apocalyptic number.

28997492659200 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 28997492659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61805209213440).

28997492659200 is an abundant number, since it is smaller than the sum of its proper divisors (94612925767680).

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

28997492659200 is a wasteful number, since it uses less digits than its factorization.

28997492659200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 28997492659200 in words is "twenty-eight trillion, nine hundred ninety-seven billion, four hundred ninety-two million, six hundred fifty-nine thousand, two hundred".