4288284900 has 108 divisors (see below), whose sum is σ = 13479053952. Its totient is φ = 1140338880.

The previous prime is 4288284899. The next prime is 4288284911. The reversal of 4288284900 is 94828824.

It is a happy number.

4288284900 is a `hidden beast` number, since 4 + 288 + 284 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 323809 + ... + 336791.

Almost surely, 2^4288284900 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 4288284900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739526976).

4288284900 is an abundant number, since it is smaller than the sum of its proper divisors (9190769052).

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

4288284900 is a wasteful number, since it uses less digits than its factorization.

4288284900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13370 (or 13360 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 4288284900 is about 65484.9975185156. The cubic root of 4288284900 is about 1624.6552199490.

The spelling of 4288284900 in words is "four billion, two hundred eighty-eight million, two hundred eighty-four thousand, nine hundred".