48217728 has 96 divisors (see below), whose sum is σ = 138875040. Its totient is φ = 14816256.

The previous prime is 48217711. The next prime is 48217739. The reversal of 48217728 is 82771284.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 64525 + ... + 65267.

It is an arithmetic number, because the mean of its divisors is an integer number (1446615).

Almost surely, 2^48217728 is an apocalyptic number.

48217728 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 48217728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69437520).

48217728 is an abundant number, since it is smaller than the sum of its proper divisors (90657312).

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

48217728 is a wasteful number, since it uses less digits than its factorization.

48217728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 761 counting only the distinct ones).

The product of its digits is 50176, while the sum is 39.

The square root of 48217728 is about 6943.8986167714. The cubic root of 48217728 is about 363.9727870812.

The spelling of 48217728 in words is "forty-eight million, two hundred seventeen thousand, seven hundred twenty-eight".