28132465665600 has 672 divisors, whose sum is σ = 103458690720000. Its totient is φ = 7435971624960.

The previous prime is 28132465665583. The next prime is 28132465665709. The reversal of 28132465665600 is 656656423182.

28132465665600 is a `hidden beast` number, since 2 + 8 + 1 + 3 + 24 + 6 + 5 + 6 + 6 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3237706056 + ... + 3237714744.

It is an arithmetic number, because the mean of its divisors is an integer number (153956385000).

Almost surely, 2^{28132465665600} is an apocalyptic number.

28132465665600 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 28132465665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51729345360000).

28132465665600 is an abundant number, since it is smaller than the sum of its proper divisors (75326225054400).

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

28132465665600 is a wasteful number, since it uses less digits than its factorization.

28132465665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9372 (or 9351 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 28132465665600 in words is "twenty-eight trillion, one hundred thirty-two billion, four hundred sixty-five million, six hundred sixty-five thousand, six hundred".