3828028890 has 128 divisors (see below), whose sum is σ = 11252183040. Its totient is φ = 813523968.

The previous prime is 3828028889. The next prime is 3828028921. The reversal of 3828028890 is 988208283.

3828028890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 289851 + ... + 302769.

It is an arithmetic number, because the mean of its divisors is an integer number (87907680).

Almost surely, 2^3828028890 is an apocalyptic number.

3828028890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3828028890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626091520).

3828028890 is an abundant number, since it is smaller than the sum of its proper divisors (7424154150).

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

3828028890 is a wasteful number, since it uses less digits than its factorization.

3828028890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13036.

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 3828028890 is about 61871.0666628595. The cubic root of 3828028890 is about 1564.3180947942.

The spelling of 3828028890 in words is "three billion, eight hundred twenty-eight million, twenty-eight thousand, eight hundred ninety".