728769600 has 504 divisors, whose sum is σ = 2966450760. Its totient is φ = 168099840.

The previous prime is 728769589. The next prime is 728769667. The reversal of 728769600 is 6967827.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 72999936 + 655769664 = 8544^2 + 25608^2 .

It is a super-2 number, since 2×728769600² = 1062210259768320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3182286 + ... + 3182514.

It is an arithmetic number, because the mean of its divisors is an integer number (5885815).

Almost surely, 2^728769600 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 728769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483225380).

728769600 is an abundant number, since it is smaller than the sum of its proper divisors (2237681160).

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

728769600 is a wasteful number, since it uses less digits than its factorization.

728769600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 728769600 is about 26995.7329961607. The cubic root of 728769600 is about 899.9051751947.

The spelling of 728769600 in words is "seven hundred twenty-eight million, seven hundred sixty-nine thousand, six hundred".