48772864 has 72 divisors (see below), whose sum is σ = 117881568. Its totient is φ = 19660800.

The previous prime is 48772859. The next prime is 48772877. The reversal of 48772864 is 46827784.

48772864 is nontrivially palindromic in base 3 and base 15.

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, 29664 + ... + 31264.

It is an arithmetic number, because the mean of its divisors is an integer number (1637244).

Almost surely, 2^48772864 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 48772864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58940784).

48772864 is an abundant number, since it is smaller than the sum of its proper divisors (69108704).

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

48772864 is a wasteful number, since it uses less digits than its factorization.

48772864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1627 counting only the distinct ones).

The product of its digits is 602112, while the sum is 46.

The square root of 48772864 is about 6983.7571549990. The cubic root of 48772864 is about 365.3642800905.

The spelling of 48772864 in words is "forty-eight million, seven hundred seventy-two thousand, eight hundred sixty-four".