28946465856 has 560 divisors, whose sum is σ = 108010586112. Its totient is φ = 7446297600.

The previous prime is 28946465851. The next prime is 28946465861. The reversal of 28946465856 is 65856464982.

28946465856 is a `hidden beast` number, since 2 + 8 + 9 + 4 + 6 + 46 + 585 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (28946465851) and next prime (28946465861).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 28946465793 and 28946465802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28946465851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50694051 + ... + 50694621.

Almost surely, 2^28946465856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28946465856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54005293056).

28946465856 is an abundant number, since it is smaller than the sum of its proper divisors (79064120256).

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

28946465856 is a wasteful number, since it uses less digits than its factorization.

28946465856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 721 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 28946465856 in words is "twenty-eight billion, nine hundred forty-six million, four hundred sixty-five thousand, eight hundred fifty-six".