47977128 has 96 divisors (see below), whose sum is σ = 144892800. Its totient is φ = 14252544.

The previous prime is 47977117. The next prime is 47977129. The reversal of 47977128 is 82177974.

It is a happy number.

It is a super-2 number, since 2×47977128² = 4603609622256768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47977129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22225 + ... + 24287.

It is an arithmetic number, because the mean of its divisors is an integer number (1509300).

Almost surely, 2^47977128 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 47977128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72446400).

47977128 is an abundant number, since it is smaller than the sum of its proper divisors (96915672).

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

47977128 is a wasteful number, since it uses less digits than its factorization.

47977128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2104 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 47977128 is about 6926.5523891760. The cubic root of 47977128 is about 363.3663855314.

The spelling of 47977128 in words is "forty-seven million, nine hundred seventy-seven thousand, one hundred twenty-eight".