728054964 has 288 divisors, whose sum is σ = 2395201536. Its totient is φ = 181336320.

The previous prime is 728054963. The next prime is 728054969. The reversal of 728054964 is 469450827.

It is a happy number.

It is a super-3 number, since 3×728054964³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728054963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6804199 + ... + 6804305.

It is an arithmetic number, because the mean of its divisors is an integer number (8316672).

Almost surely, 2^728054964 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 728054964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197600768).

728054964 is an abundant number, since it is smaller than the sum of its proper divisors (1667146572).

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

728054964 is a wasteful number, since it uses less digits than its factorization.

728054964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 728054964 is about 26982.4936579257. The cubic root of 728054964 is about 899.6109281240.

The spelling of 728054964 in words is "seven hundred twenty-eight million, fifty-four thousand, nine hundred sixty-four".