48260628 has 72 divisors (see below), whose sum is σ = 132806856. Its totient is φ = 14688000.

The previous prime is 48260623. The next prime is 48260629. The reversal of 48260628 is 82606284.

48260628 is a `hidden beast` number, since 4 + 8 + 26 + 0 + 628 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12404484 + 35856144 = 3522^2 + 5988^2 .

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 = 48260592 and 48260601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48260623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46758 + ... + 47778.

Almost surely, 2^48260628 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 48260628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66403428).

48260628 is an abundant number, since it is smaller than the sum of its proper divisors (84546228).

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

48260628 is a wasteful number, since it uses less digits than its factorization.

48260628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 48260628 is about 6946.9869727818. The cubic root of 48260628 is about 364.0806990098.

The spelling of 48260628 in words is "forty-eight million, two hundred sixty thousand, six hundred twenty-eight".