48285120 has 224 divisors, whose sum is σ = 170517312. Its totient is φ = 11501568.

The previous prime is 48285103. The next prime is 48285131. The reversal of 48285120 is 2158284.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661404 + ... + 661476.

It is an arithmetic number, because the mean of its divisors is an integer number (761238).

Almost surely, 2^48285120 is an apocalyptic number.

48285120 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 48285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85258656).

48285120 is an abundant number, since it is smaller than the sum of its proper divisors (122232192).

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

48285120 is a wasteful number, since it uses less digits than its factorization.

48285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 48285120 is about 6948.7495277928. The cubic root of 48285120 is about 364.1422782365.

The spelling of 48285120 in words is "forty-eight million, two hundred eighty-five thousand, one hundred twenty".