28892874144 has 96 divisors (see below), whose sum is σ = 80435327616. Its totient is φ = 9049743360.

The previous prime is 28892874139. The next prime is 28892874151. The reversal of 28892874144 is 44147829882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×28892874144³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015764 + ... + 1043820.

It is an arithmetic number, because the mean of its divisors is an integer number (837867996).

Almost surely, 2^28892874144 is an apocalyptic number.

28892874144 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 28892874144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40217663808).

28892874144 is an abundant number, since it is smaller than the sum of its proper divisors (51542453472).

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

28892874144 is a wasteful number, since it uses less digits than its factorization.

28892874144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28718 (or 28710 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 57.

The spelling of 28892874144 in words is "twenty-eight billion, eight hundred ninety-two million, eight hundred seventy-four thousand, one hundred forty-four".