3428928900 has 108 divisors (see below), whose sum is σ = 11380060692. Its totient is φ = 860590080.

The previous prime is 3428928887. The next prime is 3428928913. The reversal of 3428928900 is 98298243.

It is an interprime number because it is at equal distance from previous prime (3428928887) and next prime (3428928913).

It can be written as a sum of positive squares in 6 ways, for example, as 16499844 + 3412429056 = 4062^2 + 58416^2 .

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96757 + ... + 127356.

Almost surely, 2^3428928900 is an apocalyptic number.

3428928900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3428928900 is an abundant number, since it is smaller than the sum of its proper divisors (7951131792).

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

3428928900 is a wasteful number, since it uses less digits than its factorization.

3428928900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224150 (or 224140 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3428928900 is about 58557.0567907917. The cubic root of 3428928900 is about 1507.9472860672.

The spelling of 3428928900 in words is "three billion, four hundred twenty-eight million, nine hundred twenty-eight thousand, nine hundred".