48628704 has 96 divisors (see below), whose sum is σ = 137168640. Its totient is φ = 15030272.

The previous prime is 48628703. The next prime is 48628729. The reversal of 48628704 is 40782684.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48628703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135277 + ... + 135635.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2^48628704 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 48628704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68584320).

48628704 is an abundant number, since it is smaller than the sum of its proper divisors (88539936).

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

48628704 is a wasteful number, since it uses less digits than its factorization.

48628704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 48628704 is about 6973.4284251005. The cubic root of 48628704 is about 365.0039506672.

The spelling of 48628704 in words is "forty-eight million, six hundred twenty-eight thousand, seven hundred four".