47628576 has 72 divisors (see below), whose sum is σ = 137788560. Its totient is φ = 15601536.

The previous prime is 47628569. The next prime is 47628599. The reversal of 47628576 is 67582674.

47628576 is a `hidden beast` number, since 4 + 76 + 2 + 8 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15591 + ... + 18393.

It is an arithmetic number, because the mean of its divisors is an integer number (1913730).

Almost surely, 2^47628576 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 47628576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68894280).

47628576 is an abundant number, since it is smaller than the sum of its proper divisors (90159984).

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

47628576 is a wasteful number, since it uses less digits than its factorization.

47628576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2867 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 47628576 is about 6901.3459556814. The cubic root of 47628576 is about 362.4842983290.

The spelling of 47628576 in words is "forty-seven million, six hundred twenty-eight thousand, five hundred seventy-six".