28454600 has 48 divisors (see below), whose sum is σ = 70056900. Its totient is φ = 10711040.

The previous prime is 28454593. The next prime is 28454633. The reversal of 28454600 is 645482.

It can be written as a sum of positive squares in 6 ways, for example, as 17656804 + 10797796 = 4202^2 + 3286^2 .

It is a super-2 number, since 2×28454600² = 1619328522320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 785 + ... + 7584.

Almost surely, 2^28454600 is an apocalyptic number.

28454600 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 28454600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35028450).

28454600 is an abundant number, since it is smaller than the sum of its proper divisors (41602300).

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

28454600 is a wasteful number, since it uses less digits than its factorization.

28454600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8402 (or 8393 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 28454600 is about 5334.2853317010. The cubic root of 28454600 is about 305.2934558033.

The spelling of 28454600 in words is "twenty-eight million, four hundred fifty-four thousand, six hundred".