48293120 has 72 divisors (see below), whose sum is σ = 119757960. Its totient is φ = 18636800.

The previous prime is 48293087. The next prime is 48293129. The reversal of 48293120 is 2139284.

It can be written as a sum of positive squares in 4 ways, for example, as 73984 + 48219136 = 272^2 + 6944^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48293129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36470 + ... + 37770.

It is an arithmetic number, because the mean of its divisors is an integer number (1663305).

Almost surely, 2^48293120 is an apocalyptic number.

48293120 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 48293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59878980).

48293120 is an abundant number, since it is smaller than the sum of its proper divisors (71464840).

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

48293120 is a wasteful number, since it uses less digits than its factorization.

48293120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 48293120 is about 6949.3251470916. The cubic root of 48293120 is about 364.1623877951.

The spelling of 48293120 in words is "forty-eight million, two hundred ninety-three thousand, one hundred twenty".