733981248 has 672 divisors, whose sum is σ = 3017763840. Its totient is φ = 164229120.

The previous prime is 733981223. The next prime is 733981289. The reversal of 733981248 is 842189337.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10954911 + ... + 10954977.

It is an arithmetic number, because the mean of its divisors is an integer number (4490720).

Almost surely, 2^733981248 is an apocalyptic number.

733981248 is a gapful number since it is divisible by the number (78) 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 733981248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508881920).

733981248 is an abundant number, since it is smaller than the sum of its proper divisors (2283782592).

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

733981248 is a wasteful number, since it uses less digits than its factorization.

733981248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 122 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 733981248 is about 27092.0882916028. The cubic root of 733981248 is about 902.0452449678.

The spelling of 733981248 in words is "seven hundred thirty-three million, nine hundred eighty-one thousand, two hundred forty-eight".