28469064960 has 864 divisors, whose sum is σ = 125581397760. Its totient is φ = 5796790272.

The previous prime is 28469064929. The next prime is 28469064961. The reversal of 28469064960 is 6946096482.

28469064960 is a `hidden beast` number, since 28 + 46 + 90 + 6 + 496 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28469064897 and 28469064906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28469064961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26046174 + ... + 26047266.

It is an arithmetic number, because the mean of its divisors is an integer number (145348840).

Almost surely, 2^28469064960 is an apocalyptic number.

28469064960 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 28469064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62790698880).

28469064960 is an abundant number, since it is smaller than the sum of its proper divisors (97112332800).

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

28469064960 is a wasteful number, since it uses less digits than its factorization.

28469064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 28469064960 in words is "twenty-eight billion, four hundred sixty-nine million, sixty-four thousand, nine hundred sixty".