48012768 has 72 divisors (see below), whose sum is σ = 139747608. Its totient is φ = 15628032.

The previous prime is 48012751. The next prime is 48012779. The reversal of 48012768 is 86721084.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 10446 + ... + 14322.

It is an arithmetic number, because the mean of its divisors is an integer number (1940939).

Almost surely, 2^48012768 is an apocalyptic number.

48012768 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 48012768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69873804).

48012768 is an abundant number, since it is smaller than the sum of its proper divisors (91734840).

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

48012768 is a wasteful number, since it uses less digits than its factorization.

48012768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 48012768 is about 6929.1246200368. The cubic root of 48012768 is about 363.4563393149.

It can be divided in two parts, 4801 and 2768, that added together give a square (7569 = 87²).

The spelling of 48012768 in words is "forty-eight million, twelve thousand, seven hundred sixty-eight".