28961503692 has 144 divisors (see below), whose sum is σ = 78345792000. Its totient is φ = 8256481920.

The previous prime is 28961503687. The next prime is 28961503723. The reversal of 28961503692 is 29630516982.

It is a super-2 number, since 2×28961503692² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7098109 + ... + 7102187.

It is an arithmetic number, because the mean of its divisors is an integer number (544068000).

Almost surely, 2^28961503692 is an apocalyptic number.

28961503692 is a gapful number since it is divisible by the number (22) 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 28961503692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39172896000).

28961503692 is an abundant number, since it is smaller than the sum of its proper divisors (49384288308).

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

28961503692 is a wasteful number, since it uses less digits than its factorization.

28961503692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 28961503692 in words is "twenty-eight billion, nine hundred sixty-one million, five hundred three thousand, six hundred ninety-two".