47762568 has 128 divisors (see below), whose sum is σ = 156672000. Its totient is φ = 13193280.

The previous prime is 47762557. The next prime is 47762579. The reversal of 47762568 is 86526774.

It is an interprime number because it is at equal distance from previous prime (47762557) and next prime (47762579).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 46363 + ... + 47381.

It is an arithmetic number, because the mean of its divisors is an integer number (1224000).

Almost surely, 2^47762568 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 47762568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78336000).

47762568 is an abundant number, since it is smaller than the sum of its proper divisors (108909432).

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

47762568 is a wasteful number, since it uses less digits than its factorization.

47762568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1062 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 47762568 is about 6911.0468092757. The cubic root of 47762568 is about 362.8239020180.

The spelling of 47762568 in words is "forty-seven million, seven hundred sixty-two thousand, five hundred sixty-eight".