4028398920 has 480 divisors, whose sum is σ = 16771993920. Its totient is φ = 849139200.

The previous prime is 4028398909. The next prime is 4028398921. The reversal of 4028398920 is 298938204.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4028398921) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3832395 + ... + 3833445.

It is an arithmetic number, because the mean of its divisors is an integer number (34941654).

Almost surely, 2^4028398920 is an apocalyptic number.

4028398920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4028398920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8385996960).

4028398920 is an abundant number, since it is smaller than the sum of its proper divisors (12743595000).

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

4028398920 is a wasteful number, since it uses less digits than its factorization.

4028398920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1081 counting only the distinct ones).

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

The square root of 4028398920 is about 63469.6692917176. The cubic root of 4028398920 is about 1591.1489026267.

The spelling of 4028398920 in words is "four billion, twenty-eight million, three hundred ninety-eight thousand, nine hundred twenty".