47960928 has 72 divisors (see below), whose sum is σ = 137153016. Its totient is φ = 15897600.

The previous prime is 47960909. The next prime is 47960987. The reversal of 47960928 is 82906974.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×47960928² = 4600501229242368, 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 11 ways as a sum of consecutive naturals, for example, 69063 + ... + 69753.

It is an arithmetic number, because the mean of its divisors is an integer number (1904903).

Almost surely, 2^47960928 is an apocalyptic number.

47960928 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 47960928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68576508).

47960928 is an abundant number, since it is smaller than the sum of its proper divisors (89192088).

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

47960928 is a wasteful number, since it uses less digits than its factorization.

47960928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 47960928 is about 6925.3828775022. The cubic root of 47960928 is about 363.3254827209.

It can be divided in two parts, 4796092 and 8, that added together give a square (4796100 = 2190²).

The spelling of 47960928 in words is "forty-seven million, nine hundred sixty thousand, nine hundred twenty-eight".