48083328 has 64 divisors (see below), whose sum is σ = 141922800. Its totient is φ = 16026624.

The previous prime is 48083323. The next prime is 48083341. The reversal of 48083328 is 82338084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×48083328³ (a number of 24 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 48083292 and 48083301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48083323) 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, 3501 + ... + 10412.

Almost surely, 2^48083328 is an apocalyptic number.

48083328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48083328 is an abundant number, since it is smaller than the sum of its proper divisors (93839472).

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

48083328 is a wasteful number, since it uses less digits than its factorization.

48083328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13936 (or 13918 counting only the distinct ones).

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

The square root of 48083328 is about 6934.2143030051. The cubic root of 48083328 is about 363.6342984125.

The spelling of 48083328 in words is "forty-eight million, eighty-three thousand, three hundred twenty-eight".