48433632 has 72 divisors (see below), whose sum is σ = 137616696. Its totient is φ = 14827008.

The previous prime is 48433613. The next prime is 48433639. The reversal of 48433632 is 23633484.

It is a super-2 number, since 2×48433632² = 4691633417422848, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 48433593 and 48433602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48433639) 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 11 ways as a sum of consecutive naturals, for example, 245758 + ... + 245954.

It is an arithmetic number, because the mean of its divisors is an integer number (1911343).

Almost surely, 2^48433632 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 48433632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68808348).

48433632 is an abundant number, since it is smaller than the sum of its proper divisors (89183064).

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

48433632 is a wasteful number, since it uses less digits than its factorization.

48433632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 215 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 48433632 is about 6959.4275626663. The cubic root of 48433632 is about 364.5152305934.

The spelling of 48433632 in words is "forty-eight million, four hundred thirty-three thousand, six hundred thirty-two".