28167035904 has 528 divisors, whose sum is σ = 97948917248. Its totient is φ = 7918829568.

The previous prime is 28167035903. The next prime is 28167035909. The reversal of 28167035904 is 40953076182.

It is a self number, because there is not a number n which added to its sum of digits gives 28167035904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28167035903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179407794 + ... + 179407950.

It is a 1-persistent number, because it is pandigital, but 2⋅28167035904 = 56334071808 is not.

Almost surely, 2^28167035904 is an apocalyptic number.

28167035904 is a gapful number since it is divisible by the number (24) 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 28167035904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48974458624).

28167035904 is an abundant number, since it is smaller than the sum of its proper divisors (69781881344).

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

28167035904 is a wasteful number, since it uses less digits than its factorization.

28167035904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 28167035904 in words is "twenty-eight billion, one hundred sixty-seven million, thirty-five thousand, nine hundred four".