47749128 has 96 divisors (see below), whose sum is σ = 146239200. Its totient is φ = 12918528.

The previous prime is 47749103. The next prime is 47749151. The reversal of 47749128 is 82194774.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 47749128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21276 + ... + 23412.

It is an arithmetic number, because the mean of its divisors is an integer number (1523325).

Almost surely, 2^47749128 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 47749128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73119600).

47749128 is an abundant number, since it is smaller than the sum of its proper divisors (98490072).

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

47749128 is a wasteful number, since it uses less digits than its factorization.

47749128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2168 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 47749128 is about 6910.0743845490. The cubic root of 47749128 is about 362.7898669224.

The spelling of 47749128 in words is "forty-seven million, seven hundred forty-nine thousand, one hundred twenty-eight".