28829385394560 has 768 divisors, whose sum is σ = 106054574745600. Its totient is φ = 7191311155200.

The previous prime is 28829385394553. The next prime is 28829385394597. The reversal of 28829385394560 is 6549358392882.

28829385394560 is a `hidden beast` number, since 2 + 8 + 8 + 2 + 9 + 3 + 8 + 53 + 9 + 4 + 560 = 666.

It is a super-2 number, since 2×28829385394560² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25047249985 + ... + 25047251135.

It is an arithmetic number, because the mean of its divisors is an integer number (138091894200).

Almost surely, 2^{28829385394560} is an apocalyptic number.

28829385394560 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 28829385394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53027287372800).

28829385394560 is an abundant number, since it is smaller than the sum of its proper divisors (77225189351040).

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

28829385394560 is a wasteful number, since it uses less digits than its factorization.

28829385394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 28829385394560 in words is "twenty-eight trillion, eight hundred twenty-nine billion, three hundred eighty-five million, three hundred ninety-four thousand, five hundred sixty".