48277632 has 128 divisors (see below), whose sum is σ = 145656000. Its totient is φ = 14045184.

The previous prime is 48277631. The next prime is 48277643. The reversal of 48277632 is 23677284.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (48277631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94594 + ... + 95102.

Almost surely, 2^48277632 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 48277632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72828000).

48277632 is an abundant number, since it is smaller than the sum of its proper divisors (97378368).

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

48277632 is a wasteful number, since it uses less digits than its factorization.

48277632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 546 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 48277632 is about 6948.2107049225. The cubic root of 48277632 is about 364.1234536770.

The spelling of 48277632 in words is "forty-eight million, two hundred seventy-seven thousand, six hundred thirty-two".