48932352 has 240 divisors, whose sum is σ = 169801632. Its totient is φ = 13271040.

The previous prime is 48932321. The next prime is 48932357. The reversal of 48932352 is 25323984.

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

Its product of digits (51840) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48932357) 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, 1193452 + ... + 1193492.

Almost surely, 2^48932352 is an apocalyptic number.

48932352 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 48932352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84900816).

48932352 is an abundant number, since it is smaller than the sum of its proper divisors (120869280).

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

48932352 is a wasteful number, since it uses less digits than its factorization.

48932352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 90 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 48932352 is about 6995.1663311175. The cubic root of 48932352 is about 365.7620956840.

It can be divided in two parts, 48932 and 352, that added together give a square (49284 = 222²).

The spelling of 48932352 in words is "forty-eight million, nine hundred thirty-two thousand, three hundred fifty-two".