48584928 has 96 divisors (see below), whose sum is σ = 146893824. Its totient is φ = 13773312.

The previous prime is 48584917. The next prime is 48584971. The reversal of 48584928 is 82948584.

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 (48).

Its product of digits (737280) is a multiple of the sum of its prime divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132201 + ... + 132567.

It is an arithmetic number, because the mean of its divisors is an integer number (1530144).

Almost surely, 2^48584928 is an apocalyptic number.

48584928 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 48584928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73446912).

48584928 is an abundant number, since it is smaller than the sum of its proper divisors (98308896).

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

48584928 is a wasteful number, since it uses less digits than its factorization.

48584928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 576 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 48584928 is about 6970.2889466650. The cubic root of 48584928 is about 364.8943911638.

The spelling of 48584928 in words is "forty-eight million, five hundred eighty-four thousand, nine hundred twenty-eight".