28792954008000 has 4480 divisors, whose sum is σ = 142623069388800. Its totient is φ = 5562888192000.

The previous prime is 28792954007953. The next prime is 28792954008001. The reversal of 28792954008000 is 80045929782.

28792954008000 is a `hidden beast` number, since 2 + 8 + 7 + 92 + 9 + 540 + 0 + 8 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28792954008001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 34732151586 + ... + 34732152414.

It is an arithmetic number, because the mean of its divisors is an integer number (31835506560).

Almost surely, 2^{28792954008000} is an apocalyptic number.

28792954008000 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 28792954008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71311534694400).

28792954008000 is an abundant number, since it is smaller than the sum of its proper divisors (113830115380800).

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

28792954008000 is a wasteful number, since it uses less digits than its factorization.

28792954008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 28792954008000 in words is "twenty-eight trillion, seven hundred ninety-two billion, nine hundred fifty-four million, eight thousand".