28182000 has 320 divisors, whose sum is σ = 115135488. Its totient is φ = 5760000.

The previous prime is 28181977. The next prime is 28182013. The reversal of 28182000 is 28182.

It is a super-3 number, since 3×28182000³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461970 + ... + 462030.

Almost surely, 2^28182000 is an apocalyptic number.

28182000 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 28182000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57567744).

28182000 is an abundant number, since it is smaller than the sum of its proper divisors (86953488).

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

28182000 is a wasteful number, since it uses less digits than its factorization.

28182000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 28182000 is about 5308.6721503593. The cubic root of 28182000 is about 304.3154044138.

28182000 divided by its reverse (28182) gives a cube (1000 = 10³).

The spelling of 28182000 in words is "twenty-eight million, one hundred eighty-two thousand".