48157632 has 168 divisors, whose sum is σ = 151333200. Its totient is φ = 14999040.

The previous prime is 48157631. The next prime is 48157643. The reversal of 48157632 is 23675184.

48157632 is a `hidden beast` number, since 4 + 8 + 15 + 7 + 632 = 666.

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

Its product of digits (40320) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48157631) 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, 1553457 + ... + 1553487.

Almost surely, 2^48157632 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 48157632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75666600).

48157632 is an abundant number, since it is smaller than the sum of its proper divisors (103175568).

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

48157632 is a wasteful number, since it uses less digits than its factorization.

48157632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 65 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 48157632 is about 6939.5700154981. The cubic root of 48157632 is about 363.8215121383.

The spelling of 48157632 in words is "forty-eight million, one hundred fifty-seven thousand, six hundred thirty-two".