286128700 has 216 divisors, whose sum is σ = 785480976. Its totient is φ = 89548800.

The previous prime is 286128653. The next prime is 286128707. The reversal of 286128700 is 7821682.

It is a super-3 number, since 3×286128700³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286128707) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2674047 + ... + 2674153.

It is an arithmetic number, because the mean of its divisors is an integer number (3636486).

Almost surely, 2^286128700 is an apocalyptic number.

286128700 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 286128700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392740488).

286128700 is an abundant number, since it is smaller than the sum of its proper divisors (499352276).

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

286128700 is a wasteful number, since it uses less digits than its factorization.

286128700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 286128700 is about 16915.3391925790. The cubic root of 286128700 is about 658.9520406164.

The spelling of 286128700 in words is "two hundred eighty-six million, one hundred twenty-eight thousand, seven hundred".