83028600 has 144 divisors (see below), whose sum is σ = 281455200. Its totient is φ = 21934080.

The previous prime is 83028599. The next prime is 83028623. The reversal of 83028600 is 682038.

83028600 is a `hidden beast` number, since 8 + 30 + 28 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 347281 + ... + 347519.

It is an arithmetic number, because the mean of its divisors is an integer number (1954550).

Almost surely, 2^83028600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83028600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140727600).

83028600 is an abundant number, since it is smaller than the sum of its proper divisors (198426600).

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

83028600 is a wasteful number, since it uses less digits than its factorization.

83028600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 83028600 is about 9112.0030728704. The cubic root of 83028600 is about 436.2571638903.

The spelling of 83028600 in words is "eighty-three million, twenty-eight thousand, six hundred".