48053628 has 96 divisors (see below), whose sum is σ = 150796800. Its totient is φ = 12918528.

The previous prime is 48053623. The next prime is 48053653. The reversal of 48053628 is 82635084.

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 = 48053592 and 48053601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48053623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10983 + ... + 14721.

It is an arithmetic number, because the mean of its divisors is an integer number (1570800).

Almost surely, 2^48053628 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 48053628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75398400).

48053628 is an abundant number, since it is smaller than the sum of its proper divisors (102743172).

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

48053628 is a wasteful number, since it uses less digits than its factorization.

48053628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 48053628 is about 6932.0724173944. The cubic root of 48053628 is about 363.5594133917.

The spelling of 48053628 in words is "forty-eight million, fifty-three thousand, six hundred twenty-eight".