46656528 has 40 divisors (see below), whose sum is σ = 121712448. Its totient is φ = 15399552.

The previous prime is 46656523. The next prime is 46656539. The reversal of 46656528 is 82565664.

It is a self number, because there is not a number n which added to its sum of digits gives 46656528.

It is not an unprimeable number, because it can be changed into a prime (46656523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226 + ... + 9662.

Almost surely, 2^46656528 is an apocalyptic number.

46656528 is a gapful number since it is divisible by the number (48) 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 46656528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60856224).

46656528 is an abundant number, since it is smaller than the sum of its proper divisors (75055920).

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

46656528 is a wasteful number, since it uses less digits than its factorization.

46656528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9551 (or 9545 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 46656528 is about 6830.5583959146. The cubic root of 46656528 is about 360.0013580196.

The spelling of 46656528 in words is "forty-six million, six hundred fifty-six thousand, five hundred twenty-eight".