48589632 has 280 divisors, whose sum is σ = 178994816. Its totient is φ = 12690432.

The previous prime is 48589579. The next prime is 48589687. The reversal of 48589632 is 23698584.

48589632 is a `hidden beast` number, since 4 + 8 + 5 + 8 + 9 + 632 = 666.

Its product of digits (414720) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 471693 + ... + 471795.

Almost surely, 2^48589632 is an apocalyptic number.

48589632 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 48589632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89497408).

48589632 is an abundant number, since it is smaller than the sum of its proper divisors (130405184).

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

48589632 is a wasteful number, since it uses less digits than its factorization.

48589632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 48589632 is about 6970.6263707073. The cubic root of 48589632 is about 364.9061671603.

The spelling of 48589632 in words is "forty-eight million, five hundred eighty-nine thousand, six hundred thirty-two".