728892090 has 48 divisors (see below), whose sum is σ = 1960475400. Its totient is φ = 187668096.

The previous prime is 728892071. The next prime is 728892091. The reversal of 728892090 is 90298827.

It can be written as a sum of positive squares in 4 ways, for example, as 344065401 + 384826689 = 18549^2 + 19617^2 .

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

It is not an unprimeable number, because it can be changed into a prime (728892091) 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, 137025 + ... + 142244.

Almost surely, 2^728892090 is an apocalyptic number.

728892090 is an abundant number, since it is smaller than the sum of its proper divisors (1231583310).

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

728892090 is a wasteful number, since it uses less digits than its factorization.

728892090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279311 (or 279308 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 728892090 is about 26998.0015927105. The cubic root of 728892090 is about 899.9555904013.

The spelling of 728892090 in words is "seven hundred twenty-eight million, eight hundred ninety-two thousand, ninety".