4365828900 has 108 divisors (see below), whose sum is σ = 13916557200. Its totient is φ = 1144474560.

The previous prime is 4365828869. The next prime is 4365828917. The reversal of 4365828900 is 98285634.

4365828900 is a `hidden beast` number, since 4 + 365 + 8 + 289 + 0 + 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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11991 + ... + 94209.

Almost surely, 2^4365828900 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 4365828900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6958278600).

4365828900 is an abundant number, since it is smaller than the sum of its proper divisors (9550728300).

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

4365828900 is a wasteful number, since it uses less digits than its factorization.

4365828900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82298 (or 82288 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4365828900 is about 66074.4194072108. The cubic root of 4365828900 is about 1634.3895260394.

The spelling of 4365828900 in words is "four billion, three hundred sixty-five million, eight hundred twenty-eight thousand, nine hundred".