48628512 has 120 divisors (see below), whose sum is σ = 145538316. Its totient is φ = 15925248.

The previous prime is 48628499. The next prime is 48628523. The reversal of 48628512 is 21582684.

It can be written as a sum of positive squares in 2 ways, for example, as 42458256 + 6170256 = 6516^2 + 2484^2 .

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 19 ways as a sum of consecutive naturals, for example, 189088 + ... + 189344.

Almost surely, 2^48628512 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 48628512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72769158).

48628512 is an abundant number, since it is smaller than the sum of its proper divisors (96909804).

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

48628512 is a wasteful number, since it uses less digits than its factorization.

48628512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 335 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 48628512 is about 6973.4146585443. The cubic root of 48628512 is about 365.0034702866.

The spelling of 48628512 in words is "forty-eight million, six hundred twenty-eight thousand, five hundred twelve".