28491264000 has 624 divisors, whose sum is σ = 106977081120. Its totient is φ = 7564492800.

The previous prime is 28491263963. The next prime is 28491264041. The reversal of 28491264000 is 46219482.

28491264000 is a `hidden beast` number, since 2 + 8 + 4 + 9 + 1 + 2 + 640 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124415886 + ... + 124416114.

It is an arithmetic number, because the mean of its divisors is an integer number (171437630).

Almost surely, 2^28491264000 is an apocalyptic number.

28491264000 is a gapful number since it is divisible by the number (20) 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 28491264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53488540560).

28491264000 is an abundant number, since it is smaller than the sum of its proper divisors (78485817120).

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

28491264000 is an frugal number, since it uses more digits than its factorization.

28491264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 28491264000 in words is "twenty-eight billion, four hundred ninety-one million, two hundred sixty-four thousand".