47633292 has 72 divisors (see below), whose sum is σ = 143671920. Its totient is φ = 13608000.

The previous prime is 47633291. The next prime is 47633321. The reversal of 47633292 is 29233674.

It is a happy number.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47633291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 792 + ... + 9792.

Almost surely, 2^47633292 is an apocalyptic number.

47633292 is a gapful number since it is divisible by the number (42) 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 47633292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71835960).

47633292 is an abundant number, since it is smaller than the sum of its proper divisors (96038628).

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

47633292 is a wasteful number, since it uses less digits than its factorization.

47633292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9028 (or 9013 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 47633292 is about 6901.6876197058. The cubic root of 47633292 is about 362.4962618719.

The spelling of 47633292 in words is "forty-seven million, six hundred thirty-three thousand, two hundred ninety-two".