47520768 has 88 divisors (see below), whose sum is σ = 131008000. Its totient is φ = 15298560.

The previous prime is 47520731. The next prime is 47520773. The reversal of 47520768 is 86702574.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94983 + ... + 95481.

Almost surely, 2^47520768 is an apocalyptic number.

47520768 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 47520768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65504000).

47520768 is an abundant number, since it is smaller than the sum of its proper divisors (83487232).

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

47520768 is a wasteful number, since it uses less digits than its factorization.

47520768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 47520768 is about 6893.5308804705. The cubic root of 47520768 is about 362.2105954897.

The spelling of 47520768 in words is "forty-seven million, five hundred twenty thousand, seven hundred sixty-eight".