4288100 has 36 divisors (see below), whose sum is σ = 9403044. Its totient is φ = 1697280.

The previous prime is 4288087. The next prime is 4288103. The reversal of 4288100 is 18824.

It can be written as a sum of positive squares in 6 ways, for example, as 813604 + 3474496 = 902^2 + 1864^2 .

It is a super-2 number, since 2×4288100² = 36775603220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4288103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13544 + ... + 13856.

Almost surely, 2^4288100 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 4288100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701522).

4288100 is an abundant number, since it is smaller than the sum of its proper divisors (5114944).

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

4288100 is a wasteful number, since it uses less digits than its factorization.

4288100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 4288100 is about 2070.7728026029. The cubic root of 4288100 is about 162.4631869272.

The spelling of 4288100 in words is "four million, two hundred eighty-eight thousand, one hundred".