28333670400 has 960 divisors, whose sum is σ = 121927605360. Its totient is φ = 6370099200.

The previous prime is 28333670389. The next prime is 28333670413. The reversal of 28333670400 is 407633382.

28333670400 is a `hidden beast` number, since 283 + 336 + 7 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 464486370 + ... + 464486430.

Almost surely, 2^28333670400 is an apocalyptic number.

28333670400 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 28333670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963802680).

28333670400 is an abundant number, since it is smaller than the sum of its proper divisors (93593934960).

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

28333670400 is an frugal number, since it uses more digits than its factorization.

28333670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 28333670400 in words is "twenty-eight billion, three hundred thirty-three million, six hundred seventy thousand, four hundred".