289628100 has 216 divisors, whose sum is σ = 955438848. Its totient is φ = 73305600.

The previous prime is 289628089. The next prime is 289628107. The reversal of 289628100 is 1826982.

289628100 is a `hidden beast` number, since 28 + 9 + 628 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×289628100² = 167768872619220000, 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 not an unprimeable number, because it can be changed into a prime (289628107) 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, 1734217 + ... + 1734383.

It is an arithmetic number, because the mean of its divisors is an integer number (4423328).

Almost surely, 2^289628100 is an apocalyptic number.

289628100 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 289628100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477719424).

289628100 is an abundant number, since it is smaller than the sum of its proper divisors (665810748).

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

289628100 is a wasteful number, since it uses less digits than its factorization.

289628100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 289628100 is about 17018.4635029135. The cubic root of 289628100 is about 661.6275260055.

The spelling of 289628100 in words is "two hundred eighty-nine million, six hundred twenty-eight thousand, one hundred".