28005264 has 175 divisors, whose sum is σ = 94906283. Its totient is φ = 8001504.

The previous prime is 28005247. The next prime is 28005269. The reversal of 28005264 is 46250082.

The square root of 28005264 is 5292.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28005269) by changing a digit.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 4000749 + ... + 4000755.

Almost surely, 2^28005264 is an apocalyptic number.

28005264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

28005264 is the 5292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28005264

28005264 is an abundant number, since it is smaller than the sum of its proper divisors (66901019).

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

28005264 is an frugal number, since it uses more digits than its factorization.

28005264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The cubic root of 28005264 is about 303.6779252861.

The spelling of 28005264 in words is "twenty-eight million, five thousand, two hundred sixty-four".