28498788864 has 960 divisors, whose sum is σ = 110222112000. Its totient is φ = 7023034368.

The previous prime is 28498788793. The next prime is 28498788881. The reversal of 28498788864 is 46888789482.

28498788864 is a `hidden beast` number, since 2 + 8 + 498 + 78 + 8 + 8 + 64 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 28498788792 and 28498788801.

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, 390394332 + ... + 390394404.

It is an arithmetic number, because the mean of its divisors is an integer number (114814700).

Almost surely, 2^28498788864 is an apocalyptic number.

28498788864 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 28498788864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55111056000).

28498788864 is an abundant number, since it is smaller than the sum of its proper divisors (81723323136).

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

28498788864 is a wasteful number, since it uses less digits than its factorization.

28498788864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 117 counting only the distinct ones).

The product of its digits is 396361728, while the sum is 72.

The spelling of 28498788864 in words is "twenty-eight billion, four hundred ninety-eight million, seven hundred eighty-eight thousand, eight hundred sixty-four".