28574064 has 120 divisors (see below), whose sum is σ = 85268352. Its totient is φ = 8916480.

The previous prime is 28574053. The next prime is 28574069. The reversal of 28574064 is 46047582.

28574064 is a `hidden beast` number, since 28 + 574 + 0 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28574069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165082 + ... + 165254.

Almost surely, 2^28574064 is an apocalyptic number.

28574064 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 28574064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42634176).

28574064 is an abundant number, since it is smaller than the sum of its proper divisors (56694288).

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

28574064 is a wasteful number, since it uses less digits than its factorization.

28574064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 28574064 is about 5345.4713543335. The cubic root of 28574064 is about 305.7201080291.

The spelling of 28574064 in words is "twenty-eight million, five hundred seventy-four thousand, sixty-four".