48592128 has 144 divisors (see below), whose sum is σ = 144682496. Its totient is φ = 14376960.

The previous prime is 48592111. The next prime is 48592129. The reversal of 48592128 is 82129584.

It is a super-2 number, since 2×48592128² = 4722389807136768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48592129) 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, 309426 + ... + 309582.

Almost surely, 2^48592128 is an apocalyptic number.

48592128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48592128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72341248).

48592128 is an abundant number, since it is smaller than the sum of its proper divisors (96090368).

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

48592128 is a wasteful number, since it uses less digits than its factorization.

48592128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 48592128 is about 6970.8054054033. The cubic root of 48592128 is about 364.9124153396.

The spelling of 48592128 in words is "forty-eight million, five hundred ninety-two thousand, one hundred twenty-eight".