200828028240 has 640 divisors, whose sum is σ = 816749153280. Its totient is φ = 44407554048.

The previous prime is 200828028217. The next prime is 200828028263. The reversal of 200828028240 is 42820828002.

It is an interprime number because it is at equal distance from previous prime (200828028217) and next prime (200828028263).

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

It is a junction number, because it is equal to n+sod(n) for n = 200828028195 and 200828028204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58497564 + ... + 58500996.

It is an arithmetic number, because the mean of its divisors is an integer number (1276170552).

Almost surely, 2^200828028240 is an apocalyptic number.

200828028240 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 200828028240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408374576640).

200828028240 is an abundant number, since it is smaller than the sum of its proper divisors (615921125040).

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

200828028240 is a wasteful number, since it uses less digits than its factorization.

200828028240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 200828028240 in words is "two hundred billion, eight hundred twenty-eight million, twenty-eight thousand, two hundred forty".