28523293344000 has 3456 divisors, whose sum is σ = 132321376631808. Its totient is φ = 5957635276800.

The previous prime is 28523293343981. The next prime is 28523293344019. The reversal of 28523293344000 is 44339232582.

28523293344000 is a `hidden beast` number, since 2 + 8 + 5 + 232 + 9 + 3 + 3 + 4 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28523293343981) and next prime (28523293344019).

It is a tau number, because it is divible by the number of its divisors (3456).

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

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, 122417567884 + ... + 122417568116.

It is an arithmetic number, because the mean of its divisors is an integer number (38287435368).

Almost surely, 2^{28523293344000} is an apocalyptic number.

28523293344000 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 28523293344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66160688315904).

28523293344000 is an abundant number, since it is smaller than the sum of its proper divisors (103798083287808).

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

28523293344000 is a wasteful number, since it uses less digits than its factorization.

28523293344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 28523293344000 in words is "twenty-eight trillion, five hundred twenty-three billion, two hundred ninety-three million, three hundred forty-four thousand".