48407328 has 96 divisors (see below), whose sum is σ = 142430400. Its totient is φ = 15994368.

The previous prime is 48407327. The next prime is 48407353. The reversal of 48407328 is 82370484.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 48407292 and 48407301.

It is not an unprimeable number, because it can be changed into a prime (48407323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154500 + ... + 154812.

It is an arithmetic number, because the mean of its divisors is an integer number (1483650).

Almost surely, 2^48407328 is an apocalyptic number.

48407328 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 48407328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71215200).

48407328 is an abundant number, since it is smaller than the sum of its proper divisors (94023072).

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

48407328 is a wasteful number, since it uses less digits than its factorization.

48407328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 48407328 is about 6957.5374954074. The cubic root of 48407328 is about 364.4492300030.

The spelling of 48407328 in words is "forty-eight million, four hundred seven thousand, three hundred twenty-eight".