46928236800 has 432 divisors, whose sum is σ = 164102621760. Its totient is φ = 11777310720.

The previous prime is 46928236739. The next prime is 46928236801. The reversal of 46928236800 is 863282964.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 46928236800.

It is not an unprimeable number, because it can be changed into a prime (46928236801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71865274 + ... + 71865926.

It is an arithmetic number, because the mean of its divisors is an integer number (379867180).

Almost surely, 2^46928236800 is an apocalyptic number.

46928236800 is a gapful number since it is divisible by the number (40) 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 46928236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82051310880).

46928236800 is an abundant number, since it is smaller than the sum of its proper divisors (117174384960).

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

46928236800 is a wasteful number, since it uses less digits than its factorization.

46928236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 46928236800 in words is "forty-six billion, nine hundred twenty-eight million, two hundred thirty-six thousand, eight hundred".