48987792 has 120 divisors (see below), whose sum is σ = 163572864. Its totient is φ = 13381632.

The previous prime is 48987779. The next prime is 48987797. The reversal of 48987792 is 29778984.

48987792 is a `hidden beast` number, since 489 + 8 + 77 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (48987797) 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, 22128 + ... + 24240.

Almost surely, 2^48987792 is an apocalyptic number.

48987792 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 48987792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81786432).

48987792 is an abundant number, since it is smaller than the sum of its proper divisors (114585072).

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

48987792 is a wasteful number, since it uses less digits than its factorization.

48987792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2148 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 48987792 is about 6999.1279456801. The cubic root of 48987792 is about 365.9001788155.

The spelling of 48987792 in words is "forty-eight million, nine hundred eighty-seven thousand, seven hundred ninety-two".