28574100 has 144 divisors (see below), whose sum is σ = 96868800. Its totient is φ = 7205760.

The previous prime is 28574069. The next prime is 28574107. The reversal of 28574100 is 147582.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28574107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51022 + ... + 51578.

It is an arithmetic number, because the mean of its divisors is an integer number (672700).

Almost surely, 2^28574100 is an apocalyptic number.

28574100 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 28574100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48434400).

28574100 is an abundant number, since it is smaller than the sum of its proper divisors (68294700).

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

28574100 is a wasteful number, since it uses less digits than its factorization.

28574100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 28574100 is about 5345.4747216688. The cubic root of 28574100 is about 305.7202364197.

The spelling of 28574100 in words is "twenty-eight million, five hundred seventy-four thousand, one hundred".