28957938240 has 448 divisors, whose sum is σ = 118335356928. Its totient is φ = 5822668800.

The previous prime is 28957938221. The next prime is 28957938281. The reversal of 28957938240 is 4283975982.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×28957938240² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2285202 + ... + 2297838.

Almost surely, 2^28957938240 is an apocalyptic number.

28957938240 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 28957938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59167678464).

28957938240 is an abundant number, since it is smaller than the sum of its proper divisors (89377418688).

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

28957938240 is a wasteful number, since it uses less digits than its factorization.

28957938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12706 (or 12696 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 28957938240 in words is "twenty-eight billion, nine hundred fifty-seven million, nine hundred thirty-eight thousand, two hundred forty".