28301906304 has 512 divisors, whose sum is σ = 102097920000. Its totient is φ = 7538116608.

The previous prime is 28301906291. The next prime is 28301906327. The reversal of 28301906304 is 40360910382.

28301906304 is a `hidden beast` number, since 2 + 8 + 3 + 0 + 19 + 0 + 630 + 4 = 666.

It is a super-3 number, since 3×28301906304³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 30795957 + ... + 30796875.

It is an arithmetic number, because the mean of its divisors is an integer number (199410000).

Almost surely, 2^28301906304 is an apocalyptic number.

28301906304 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 28301906304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51048960000).

28301906304 is an abundant number, since it is smaller than the sum of its proper divisors (73796013696).

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

28301906304 is a wasteful number, since it uses less digits than its factorization.

28301906304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 28301906304 in words is "twenty-eight billion, three hundred one million, nine hundred six thousand, three hundred four".