48280320 has 288 divisors, whose sum is σ = 188375040. Its totient is φ = 11612160.

The previous prime is 48280319. The next prime is 48280339. The reversal of 48280320 is 2308284.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 380097 + ... + 380223.

It is an arithmetic number, because the mean of its divisors is an integer number (654080).

Almost surely, 2^48280320 is an apocalyptic number.

48280320 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 48280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94187520).

48280320 is an abundant number, since it is smaller than the sum of its proper divisors (140094720).

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

48280320 is a wasteful number, since it uses less digits than its factorization.

48280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48280320 is about 6948.4041333244. The cubic root of 48280320 is about 364.1302114351.

The spelling of 48280320 in words is "forty-eight million, two hundred eighty thousand, three hundred twenty".