2028288600 has 240 divisors, whose sum is σ = 7587222720. Its totient is φ = 499219200.

The previous prime is 2028288593. The next prime is 2028288631. The reversal of 2028288600 is 68828202.

2028288600 is a `hidden beast` number, since 2 + 0 + 28 + 28 + 8 + 600 = 666.

It is a super-2 number, since 2×2028288600² = 8227909289779920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 205785 + ... + 215415.

It is an arithmetic number, because the mean of its divisors is an integer number (31613428).

Almost surely, 2^2028288600 is an apocalyptic number.

2028288600 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 2028288600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793611360).

2028288600 is an abundant number, since it is smaller than the sum of its proper divisors (5558934120).

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

2028288600 is a wasteful number, since it uses less digits than its factorization.

2028288600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9672 (or 9654 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2028288600 is about 45036.5251767940. The cubic root of 2028288600 is about 1265.8334948695.

The spelling of 2028288600 in words is "two billion, twenty-eight million, two hundred eighty-eight thousand, six hundred".