28001837803680 has 960 divisors, whose sum is σ = 110964105584640. Its totient is φ = 6602530185216.

The previous prime is 28001837803669. The next prime is 28001837803729. The reversal of 28001837803680 is 8630873810082.

28001837803680 is a `hidden beast` number, since 28 + 0 + 0 + 183 + 7 + 80 + 368 + 0 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 620489277 + ... + 620534403.

It is an arithmetic number, because the mean of its divisors is an integer number (115587609984).

Almost surely, 2^{28001837803680} is an apocalyptic number.

28001837803680 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 28001837803680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55482052792320).

28001837803680 is an abundant number, since it is smaller than the sum of its proper divisors (82962267780960).

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

28001837803680 is a wasteful number, since it uses less digits than its factorization.

28001837803680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45323 (or 45306 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 28001837803680 in words is "twenty-eight trillion, one billion, eight hundred thirty-seven million, eight hundred three thousand, six hundred eighty".