47633792 has 32 divisors (see below), whose sum is σ = 95843280. Its totient is φ = 23579136.

The previous prime is 47633791. The next prime is 47633801. The reversal of 47633792 is 29733674.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47633791) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11378 + ... + 14990.

Almost surely, 2^47633792 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 47633792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47921640).

47633792 is an abundant number, since it is smaller than the sum of its proper divisors (48209488).

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

47633792 is a wasteful number, since it uses less digits than its factorization.

47633792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3718 counting only the distinct ones).

The product of its digits is 190512, while the sum is 41.

The square root of 47633792 is about 6901.7238426353. The cubic root of 47633792 is about 362.4975302249.

The spelling of 47633792 in words is "forty-seven million, six hundred thirty-three thousand, seven hundred ninety-two".