28831723200 has 840 divisors, whose sum is σ = 123339721824. Its totient is φ = 6469632000.

The previous prime is 28831723171. The next prime is 28831723211. The reversal of 28831723200 is 232713882.

It is a happy number.

28831723200 is a `hidden beast` number, since 288 + 3 + 172 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-3 number, since 3×28831723200³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55338940 + ... + 55339460.

Almost surely, 2^28831723200 is an apocalyptic number.

28831723200 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 28831723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61669860912).

28831723200 is an abundant number, since it is smaller than the sum of its proper divisors (94507998624).

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

28831723200 is a wasteful number, since it uses less digits than its factorization.

28831723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 28831723200 in words is "twenty-eight billion, eight hundred thirty-one million, seven hundred twenty-three thousand, two hundred".