48833928 has 320 divisors, whose sum is σ = 175633920. Its totient is φ = 12441600.

The previous prime is 48833927. The next prime is 48833957. The reversal of 48833928 is 82933884.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48833923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1575273 + ... + 1575303.

It is an arithmetic number, because the mean of its divisors is an integer number (548856).

Almost surely, 2^48833928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48833928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87816960).

48833928 is an abundant number, since it is smaller than the sum of its proper divisors (126799992).

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

48833928 is a wasteful number, since it uses less digits than its factorization.

48833928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 77 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 48833928 is about 6988.1276462297. The cubic root of 48833928 is about 365.5166961270.

The spelling of 48833928 in words is "forty-eight million, eight hundred thirty-three thousand, nine hundred twenty-eight".