47328624 has 240 divisors, whose sum is σ = 164656128. Its totient is φ = 12877056.

The previous prime is 47328623. The next prime is 47328643. The reversal of 47328624 is 42682374.

47328624 is a `hidden beast` number, since 4 + 7 + 3 + 28 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (64512) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47328623) 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, 1006969 + ... + 1007015.

Almost surely, 2^47328624 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 47328624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82328064).

47328624 is an abundant number, since it is smaller than the sum of its proper divisors (117327504).

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

47328624 is a wasteful number, since it uses less digits than its factorization.

47328624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 96 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 47328624 is about 6879.5802197518. The cubic root of 47328624 is about 361.7217523415.

The spelling of 47328624 in words is "forty-seven million, three hundred twenty-eight thousand, six hundred twenty-four".