4664428100 has 36 divisors (see below), whose sum is σ = 10173231684. Its totient is φ = 1856292480.

The previous prime is 4664428061. The next prime is 4664428103. The reversal of 4664428100 is 18244664.

It can be written as a sum of positive squares in 6 ways, for example, as 45050944 + 4619377156 = 6712^2 + 67966^2 .

It is a super-2 number, since 2×4664428100² = 43513779000139220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4664428103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98687 + ... + 138086.

It is an arithmetic number, because the mean of its divisors is an integer number (282589769).

Almost surely, 2^4664428100 is an apocalyptic number.

It is an amenable number.

4664428100 is an abundant number, since it is smaller than the sum of its proper divisors (5508803584).

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

4664428100 is a wasteful number, since it uses less digits than its factorization.

4664428100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236984 (or 236977 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 4664428100 is about 68296.6185107286. The cubic root of 4664428100 is about 1670.8320641169.

The spelling of 4664428100 in words is "four billion, six hundred sixty-four million, four hundred twenty-eight thousand, one hundred".