47445888 has 128 divisors (see below), whose sum is σ = 151776000. Its totient is φ = 12828672.

The previous prime is 47445887. The next prime is 47445913. The reversal of 47445888 is 88854474.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×47445888² = 4502224576217088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47445883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50608 + ... + 51536.

It is an arithmetic number, because the mean of its divisors is an integer number (1185750).

Almost surely, 2^47445888 is an apocalyptic number.

47445888 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 47445888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75888000).

47445888 is an abundant number, since it is smaller than the sum of its proper divisors (104330112).

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

47445888 is a wasteful number, since it uses less digits than its factorization.

47445888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 960 counting only the distinct ones).

The product of its digits is 1146880, while the sum is 48.

The square root of 47445888 is about 6888.0975602847. The cubic root of 47445888 is about 362.0202465198.

The spelling of 47445888 in words is "forty-seven million, four hundred forty-five thousand, eight hundred eighty-eight".