47412288 has 168 divisors, whose sum is σ = 169590720. Its totient is φ = 12303360.

The previous prime is 47412283. The next prime is 47412293. The reversal of 47412288 is 88221474.

It is an interprime number because it is at equal distance from previous prime (47412283) and next prime (47412293).

It is a tau number, because it is divible by the number of its divisors (168).

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 not an unprimeable number, because it can be changed into a prime (47412283) 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, 43818 + ... + 44886.

Almost surely, 2^47412288 is an apocalyptic number.

47412288 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 47412288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84795360).

47412288 is an abundant number, since it is smaller than the sum of its proper divisors (122178432).

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

47412288 is a wasteful number, since it uses less digits than its factorization.

47412288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1092 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 47412288 is about 6885.6581384788. The cubic root of 47412288 is about 361.9347684217.

The spelling of 47412288 in words is "forty-seven million, four hundred twelve thousand, two hundred eighty-eight".