28901132416 has 64 divisors (see below), whose sum is σ = 63022138200. Its totient is φ = 13120266240.

The previous prime is 28901132411. The next prime is 28901132441. The reversal of 28901132416 is 61423110982.

It can be written as a sum of positive squares in 4 ways, for example, as 5029646400 + 23871486016 = 70920^2 + 154504^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (28901132411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40861 + ... + 243868.

Almost surely, 2^28901132416 is an apocalyptic number.

28901132416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

28901132416 is an abundant number, since it is smaller than the sum of its proper divisors (34121005784).

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

28901132416 is a wasteful number, since it uses less digits than its factorization.

28901132416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284817 (or 284805 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 28901132416 in words is "twenty-eight billion, nine hundred one million, one hundred thirty-two thousand, four hundred sixteen".