28301588304 has 480 divisors, whose sum is σ = 89522270208. Its totient is φ = 7664025600.

The previous prime is 28301588303. The next prime is 28301588309. The reversal of 28301588304 is 40388510382.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28301588303) 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, 222847089 + ... + 222847215.

Almost surely, 2^28301588304 is an apocalyptic number.

28301588304 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 28301588304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44761135104).

28301588304 is an abundant number, since it is smaller than the sum of its proper divisors (61220681904).

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

28301588304 is a wasteful number, since it uses less digits than its factorization.

28301588304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

It can be divided in two parts, 28301 and 588304, that added together give a triangular number (616605 = T₁₁₁₀).

The spelling of 28301588304 in words is "twenty-eight billion, three hundred one million, five hundred eighty-eight thousand, three hundred four".