28523537100000 has 864 divisors, whose sum is σ = 107457754451040. Its totient is φ = 7360243200000.

The previous prime is 28523537099977. The next prime is 28523537100007. The reversal of 28523537100000 is 173532582.

It is a happy number.

28523537100000 is a `hidden beast` number, since 28 + 523 + 5 + 3 + 7 + 100 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28523537100007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2594694504 + ... + 2594705496.

It is an arithmetic number, because the mean of its divisors is an integer number (124372400985).

Almost surely, 2^{28523537100000} is an apocalyptic number.

28523537100000 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 28523537100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53728877225520).

28523537100000 is an abundant number, since it is smaller than the sum of its proper divisors (78934217351040).

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

28523537100000 is an equidigital number, since it uses as much as digits as its factorization.

28523537100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11099 (or 11034 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 28523537100000 in words is "twenty-eight trillion, five hundred twenty-three billion, five hundred thirty-seven million, one hundred thousand".