28164500 has 96 divisors (see below), whose sum is σ = 75828480. Its totient is φ = 8899200.

The previous prime is 28164463. The next prime is 28164503. The reversal of 28164500 is 546182.

It is a super-3 number, since 3×28164500³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 28164500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28164503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45191 + ... + 45809.

It is an arithmetic number, because the mean of its divisors is an integer number (789880).

Almost surely, 2^28164500 is an apocalyptic number.

28164500 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 28164500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37914240).

28164500 is an abundant number, since it is smaller than the sum of its proper divisors (47663980).

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

28164500 is a wasteful number, since it uses less digits than its factorization.

28164500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 28164500 is about 5307.0236479594. The cubic root of 28164500 is about 304.2524017611.

The spelling of 28164500 in words is "twenty-eight million, one hundred sixty-four thousand, five hundred".