28729257984 has 832 divisors, whose sum is σ = 107570764800. Its totient is φ = 7389315072.

The previous prime is 28729257961. The next prime is 28729258013. The reversal of 28729257984 is 48975292782.

28729257984 is a `hidden beast` number, since 287 + 29 + 257 + 9 + 84 = 666.

It is a super-2 number, since 2×28729257984² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 486936547 + ... + 486936605.

Almost surely, 2^28729257984 is an apocalyptic number.

28729257984 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 28729257984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53785382400).

28729257984 is an abundant number, since it is smaller than the sum of its proper divisors (78841506816).

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

28729257984 is a wasteful number, since it uses less digits than its factorization.

28729257984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 125 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 28729257984 in words is "twenty-eight billion, seven hundred twenty-nine million, two hundred fifty-seven thousand, nine hundred eighty-four".