28762400 has 72 divisors (see below), whose sum is σ = 70972020. Its totient is φ = 11381760.

The previous prime is 28762387. The next prime is 28762417. The reversal of 28762400 is 426782.

It can be written as a sum of positive squares in 6 ways, for example, as 14714896 + 14047504 = 3836^2 + 3748^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 125486 + ... + 125714.

Almost surely, 2^28762400 is an apocalyptic number.

28762400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28762400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35486010).

28762400 is an abundant number, since it is smaller than the sum of its proper divisors (42209620).

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

28762400 is a wasteful number, since it uses less digits than its factorization.

28762400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 28762400 is about 5363.0588286910. The cubic root of 28762400 is about 306.3903202590.

The spelling of 28762400 in words is "twenty-eight million, seven hundred sixty-two thousand, four hundred".