47287680 has 128 divisors (see below), whose sum is σ = 164505600. Its totient is φ = 11458560.

The previous prime is 47287657. The next prime is 47287697. The reversal of 47287680 is 8678274.

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

It is a super-2 number, since 2×47287680² = 4472249359564800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20001 + ... + 22239.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 2^47287680 is an apocalyptic number.

47287680 is a gapful number since it is divisible by the number (40) 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 47287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

47287680 is an abundant number, since it is smaller than the sum of its proper divisors (117217920).

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

47287680 is a wasteful number, since it uses less digits than its factorization.

47287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 47287680 is about 6876.6038129298. The cubic root of 47287680 is about 361.6174137331.

The spelling of 47287680 in words is "forty-seven million, two hundred eighty-seven thousand, six hundred eighty".