48833280 has 216 divisors, whose sum is σ = 176331792. Its totient is φ = 12939264.

The previous prime is 48833261. The next prime is 48833311. The reversal of 48833280 is 8233884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310962 + ... + 311118.

Almost surely, 2^48833280 is an apocalyptic number.

48833280 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 48833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88165896).

48833280 is an abundant number, since it is smaller than the sum of its proper divisors (127498512).

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

48833280 is an equidigital number, since it uses as much as digits as its factorization.

48833280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 48833280 is about 6988.0812817253. The cubic root of 48833280 is about 365.5150793831.

The spelling of 48833280 in words is "forty-eight million, eight hundred thirty-three thousand, two hundred eighty".