4211828910 has 96 divisors (see below), whose sum is σ = 11299616640. Its totient is φ = 1087916544.

The previous prime is 4211828849. The next prime is 4211828911. The reversal of 4211828910 is 198281124.

It is a happy number.

It is a super-2 number, since 2×4211828910² = 35479005534223576200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4211828911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371242 + ... + 382418.

It is an arithmetic number, because the mean of its divisors is an integer number (117704340).

Almost surely, 2^4211828910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4211828910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5649808320).

4211828910 is an abundant number, since it is smaller than the sum of its proper divisors (7087787730).

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

4211828910 is a wasteful number, since it uses less digits than its factorization.

4211828910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11322 (or 11319 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 4211828910 is about 64898.6048386250. The cubic root of 4211828910 is about 1614.9419169045.

The spelling of 4211828910 in words is "four billion, two hundred eleven million, eight hundred twenty-eight thousand, nine hundred ten".