48121128 has 160 divisors (see below), whose sum is σ = 151414560. Its totient is φ = 14152320.

The previous prime is 48121109. The next prime is 48121181. The reversal of 48121128 is 82112184.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 306426 + ... + 306582.

It is an arithmetic number, because the mean of its divisors is an integer number (946341).

Almost surely, 2^48121128 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 48121128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75707280).

48121128 is an abundant number, since it is smaller than the sum of its proper divisors (103293432).

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

48121128 is a wasteful number, since it uses less digits than its factorization.

48121128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 216 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 48121128 is about 6936.9393827538. The cubic root of 48121128 is about 363.7295620359.

It can be divided in two parts, 481 and 21128, that added together give a square (21609 = 147²).

The spelling of 48121128 in words is "forty-eight million, one hundred twenty-one thousand, one hundred twenty-eight".