28956226464 has 384 divisors, whose sum is σ = 96932505600. Its totient is φ = 8323983360.

The previous prime is 28956226459. The next prime is 28956226469. The reversal of 28956226464 is 46462265982.

28956226464 is a `hidden beast` number, since 2 + 8 + 9 + 5 + 622 + 6 + 4 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (28956226459) and next prime (28956226469).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 28956226464.

It is not an unprimeable number, because it can be changed into a prime (28956226469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30383812 + ... + 30384764.

It is an arithmetic number, because the mean of its divisors is an integer number (252428400).

Almost surely, 2^28956226464 is an apocalyptic number.

28956226464 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 28956226464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48466252800).

28956226464 is an abundant number, since it is smaller than the sum of its proper divisors (67976279136).

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

28956226464 is a wasteful number, since it uses less digits than its factorization.

28956226464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1131 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 28956226464 in words is "twenty-eight billion, nine hundred fifty-six million, two hundred twenty-six thousand, four hundred sixty-four".