48712320 has 128 divisors (see below), whose sum is σ = 172584000. Its totient is φ = 12985344.

The previous prime is 48712291. The next prime is 48712331. The reversal of 48712320 is 2321784.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 15871 + ... + 18689.

Almost surely, 2^48712320 is an apocalyptic number.

48712320 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 48712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86292000).

48712320 is an abundant number, since it is smaller than the sum of its proper divisors (123871680).

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

48712320 is a wasteful number, since it uses less digits than its factorization.

48712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 48712320 is about 6979.4211794389. The cubic root of 48712320 is about 365.2130363278.

The spelling of 48712320 in words is "forty-eight million, seven hundred twelve thousand, three hundred twenty".