1028438208 has 392 divisors, whose sum is σ = 3624632832. Its totient is φ = 283295232.

The previous prime is 1028438207. The next prime is 1028438209. The reversal of 1028438208 is 8028348201.

It is a happy number.

1028438208 is a `hidden beast` number, since 10 + 2 + 8 + 438 + 208 = 666.

It is an interprime number because it is at equal distance from previous prime (1028438207) and next prime (1028438209).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1028438207) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15349791 + ... + 15349857.

Almost surely, 2^1028438208 is an apocalyptic number.

1028438208 is a gapful number since it is divisible by the number (18) 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 1028438208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812316416).

1028438208 is an abundant number, since it is smaller than the sum of its proper divisors (2596194624).

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

1028438208 is an frugal number, since it uses more digits than its factorization.

1028438208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1028438208 is about 32069.2720216721. The cubic root of 1028438208 is about 1009.3909369093.

The spelling of 1028438208 in words is "one billion, twenty-eight million, four hundred thirty-eight thousand, two hundred eight".