748828000 has 192 divisors, whose sum is σ = 1981324800. Its totient is φ = 277286400.

The previous prime is 748827931. The next prime is 748828007. The reversal of 748828000 is 828847.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748828007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4483917 + ... + 4484083.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400).

Almost surely, 2^748828000 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 748828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990662400).

748828000 is an abundant number, since it is smaller than the sum of its proper divisors (1232496800).

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

748828000 is a wasteful number, since it uses less digits than its factorization.

748828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 748828000 is about 27364.7218147746. The cubic root of 748828000 is about 908.0867907232.

The spelling of 748828000 in words is "seven hundred forty-eight million, eight hundred twenty-eight thousand".