728788450 has 48 divisors (see below), whose sum is σ = 1468484136. Its totient is φ = 267494400.

The previous prime is 728788433. The next prime is 728788457. The reversal of 728788450 is 54887827.

It can be written as a sum of positive squares in 12 ways, for example, as 216354681 + 512433769 = 14709^2 + 22637^2 .

It is a super-2 number, since 2×728788450² = 1062265209706805000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 728788394 and 728788403.

It is not an unprimeable number, because it can be changed into a prime (728788457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109210 + ... + 115690.

Almost surely, 2^728788450 is an apocalyptic number.

728788450 is an abundant number, since it is smaller than the sum of its proper divisors (739695686).

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

728788450 is a wasteful number, since it uses less digits than its factorization.

728788450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6679 (or 6674 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 49.

The square root of 728788450 is about 26996.0821231526. The cubic root of 728788450 is about 899.9129339643.

The spelling of 728788450 in words is "seven hundred twenty-eight million, seven hundred eighty-eight thousand, four hundred fifty".