48193920 has 128 divisors (see below), whose sum is σ = 170748000. Its totient is φ = 12847104.

The previous prime is 48193913. The next prime is 48193921. The reversal of 48193920 is 2939184.

48193920 is a `hidden beast` number, since 481 + 93 + 92 + 0 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48193921) 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, 15886 + ... + 18674.

Almost surely, 2^48193920 is an apocalyptic number.

48193920 is a gapful number since it is divisible by the number (40) 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 48193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85374000).

48193920 is an abundant number, since it is smaller than the sum of its proper divisors (122554080).

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

48193920 is a wasteful number, since it uses less digits than its factorization.

48193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 48193920 is about 6942.1840943611. The cubic root of 48193920 is about 363.9128721144.

The spelling of 48193920 in words is "forty-eight million, one hundred ninety-three thousand, nine hundred twenty".