283728400 has 30 divisors (see below), whose sum is σ = 681658442. Its totient is φ = 113491200.

The previous prime is 283728377. The next prime is 283728407. The reversal of 283728400 is 4827382.

It can be written as a sum of positive squares in 3 ways, for example, as 82882816 + 200845584 = 9104^2 + 14172^2 .

It is not an unprimeable number, because it can be changed into a prime (283728407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 354261 + ... + 355060.

Almost surely, 2^283728400 is an apocalyptic number.

283728400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

283728400 is an abundant number, since it is smaller than the sum of its proper divisors (397930042).

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

283728400 is a wasteful number, since it uses less digits than its factorization.

283728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709339 (or 709328 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 283728400 is about 16844.2393713697. The cubic root of 283728400 is about 657.1042402368.

The spelling of 283728400 in words is "two hundred eighty-three million, seven hundred twenty-eight thousand, four hundred".