46072928 has 72 divisors (see below), whose sum is σ = 101687544. Its totient is φ = 20528640.

The previous prime is 46072927. The next prime is 46072937. The reversal of 46072928 is 82927064.

It is a junction number, because it is equal to n+sod(n) for n = 46072891 and 46072900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46072921) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 282575 + ... + 282737.

It is an arithmetic number, because the mean of its divisors is an integer number (1412327).

Almost surely, 2^46072928 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 46072928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50843772).

46072928 is an abundant number, since it is smaller than the sum of its proper divisors (55614616).

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

46072928 is a wasteful number, since it uses less digits than its factorization.

46072928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 46072928 is about 6787.7041774079. The cubic root of 46072928 is about 358.4940382224.

The spelling of 46072928 in words is "forty-six million, seventy-two thousand, nine hundred twenty-eight".