28697328000 has 1152 divisors, whose sum is σ = 119401420320. Its totient is φ = 6842880000.

The previous prime is 28697327993. The next prime is 28697328119. The reversal of 28697328000 is 82379682.

28697328000 is a `hidden beast` number, since 286 + 97 + 3 + 280 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 470447970 + ... + 470448030.

Almost surely, 2^28697328000 is an apocalyptic number.

28697328000 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 28697328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59700710160).

28697328000 is an abundant number, since it is smaller than the sum of its proper divisors (90704092320).

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

28697328000 is an equidigital number, since it uses as much as digits as its factorization.

28697328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 28697328000 in words is "twenty-eight billion, six hundred ninety-seven million, three hundred twenty-eight thousand".