28662000 has 160 divisors (see below), whose sum is σ = 98190144. Its totient is φ = 7168000.

The previous prime is 28661999. The next prime is 28662001. The reversal of 28662000 is 26682.

It is an interprime number because it is at equal distance from previous prime (28661999) and next prime (28662001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28662001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101860 + ... + 102140.

Almost surely, 2^28662000 is an apocalyptic number.

28662000 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 28662000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49095072).

28662000 is an abundant number, since it is smaller than the sum of its proper divisors (69528144).

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

28662000 is a wasteful number, since it uses less digits than its factorization.

28662000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 28662000 is about 5353.6903160344. The cubic root of 28662000 is about 306.0334023087.

Adding to 28662000 its reverse (26682), we get a palindrome (28688682).

The spelling of 28662000 in words is "twenty-eight million, six hundred sixty-two thousand".