28279689984 has 864 divisors, whose sum is σ = 109519155200. Its totient is φ = 6808043520.

The previous prime is 28279689931. The next prime is 28279690013. The reversal of 28279689984 is 48998697282.

It is a super-2 number, since 2×28279689984² (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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, 123491982 + ... + 123492210.

Almost surely, 2^28279689984 is an apocalyptic number.

28279689984 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 28279689984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54759577600).

28279689984 is an abundant number, since it is smaller than the sum of its proper divisors (81239465216).

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

28279689984 is a wasteful number, since it uses less digits than its factorization.

28279689984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 304 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 72.

The spelling of 28279689984 in words is "twenty-eight billion, two hundred seventy-nine million, six hundred eighty-nine thousand, nine hundred eighty-four".