48391120 has 80 divisors (see below), whose sum is σ = 116791632. Its totient is φ = 18636800.

The previous prime is 48391097. The next prime is 48391127. The reversal of 48391120 is 2119384.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5184 + 48385936 = 72^2 + 6956^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48391127) 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, 428184 + ... + 428296.

Almost surely, 2^48391120 is an apocalyptic number.

48391120 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 48391120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58395816).

48391120 is an abundant number, since it is smaller than the sum of its proper divisors (68400512).

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

48391120 is a wasteful number, since it uses less digits than its factorization.

48391120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 48391120 is about 6956.3726179669. The cubic root of 48391120 is about 364.4085498501.

The spelling of 48391120 in words is "forty-eight million, three hundred ninety-one thousand, one hundred twenty".