48892032 has 256 divisors, whose sum is σ = 172339200. Its totient is φ = 13353984.

The previous prime is 48892003. The next prime is 48892037. The reversal of 48892032 is 23029884.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48892037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1040233 + ... + 1040279.

It is an arithmetic number, because the mean of its divisors is an integer number (673200).

Almost surely, 2^48892032 is an apocalyptic number.

48892032 is a gapful number since it is divisible by the number (42) 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 48892032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86169600).

48892032 is an abundant number, since it is smaller than the sum of its proper divisors (123447168).

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

48892032 is a wasteful number, since it uses less digits than its factorization.

48892032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48892032 is about 6992.2837471029. The cubic root of 48892032 is about 365.6616060653.

The spelling of 48892032 in words is "forty-eight million, eight hundred ninety-two thousand, thirty-two".