28333800 has 288 divisors, whose sum is σ = 109680480. Its totient is φ = 6739200.

The previous prime is 28333763. The next prime is 28333817. The reversal of 28333800 is 833382.

28333800 is a `hidden beast` number, since 283 + 3 + 380 + 0 = 666.

It is a super-3 number, since 3×28333800³ (a number of 23 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 534574 + ... + 534626.

It is an arithmetic number, because the mean of its divisors is an integer number (380835).

Almost surely, 2^28333800 is an apocalyptic number.

28333800 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 28333800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54840240).

28333800 is an abundant number, since it is smaller than the sum of its proper divisors (81346680).

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

28333800 is a wasteful number, since it uses less digits than its factorization.

28333800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 28333800 is about 5322.9503097436. The cubic root of 28333800 is about 304.8608161863.

The spelling of 28333800 in words is "twenty-eight million, three hundred thirty-three thousand, eight hundred".