47200128 has 64 divisors (see below), whose sum is σ = 126720720. Its totient is φ = 15564800.

The previous prime is 47200099. The next prime is 47200129. The reversal of 47200128 is 82100274.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 47200098 and 47200107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47200129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38176 + ... + 39392.

Almost surely, 2^47200128 is an apocalyptic number.

47200128 is a gapful number since it is divisible by the number (48) 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 47200128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63360360).

47200128 is an abundant number, since it is smaller than the sum of its proper divisors (79520592).

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

47200128 is a wasteful number, since it uses less digits than its factorization.

47200128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 47200128 is about 6870.2349304809. The cubic root of 47200128 is about 361.3941005476.

The spelling of 47200128 in words is "forty-seven million, two hundred thousand, one hundred twenty-eight".