28476000 has 288 divisors, whose sum is σ = 116520768. Its totient is φ = 6451200.

The previous prime is 28475983. The next prime is 28476023. The reversal of 28476000 is 67482.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251944 + ... + 252056.

It is an arithmetic number, because the mean of its divisors is an integer number (404586).

Almost surely, 2^28476000 is an apocalyptic number.

28476000 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 28476000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58260384).

28476000 is an abundant number, since it is smaller than the sum of its proper divisors (88044768).

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

28476000 is a wasteful number, since it uses less digits than its factorization.

28476000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 28476000 is about 5336.2908466462. The cubic root of 28476000 is about 305.3699711740.

The spelling of 28476000 in words is "twenty-eight million, four hundred seventy-six thousand".