28037664 has 120 divisors (see below), whose sum is σ = 85530060. Its totient is φ = 8999424.

The previous prime is 28037657. The next prime is 28037683. The reversal of 28037664 is 46673082.

28037664 is a `hidden beast` number, since 280 + 376 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28005264 + 32400 = 5292^2 + 180^2 .

It is a super-2 number, since 2×28037664² = 1572221205153792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 74982 + ... + 75354.

Almost surely, 2^28037664 is an apocalyptic number.

28037664 is a gapful number since it is divisible by the number (24) 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 28037664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42765030).

28037664 is an abundant number, since it is smaller than the sum of its proper divisors (57492396).

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

28037664 is a wasteful number, since it uses less digits than its factorization.

28037664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 28037664 is about 5295.0603395995. The cubic root of 28037664 is about 303.7949910494.

The spelling of 28037664 in words is "twenty-eight million, thirty-seven thousand, six hundred sixty-four".