1028137320 has 512 divisors, whose sum is σ = 4180377600. Its totient is φ = 219801600.

The previous prime is 1028137309. The next prime is 1028137321. The reversal of 1028137320 is 237318201.

1028137320 is a `hidden beast` number, since 10 + 281 + 373 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1028137321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9608707 + ... + 9608813.

It is an arithmetic number, because the mean of its divisors is an integer number (8164800).

Almost surely, 2^1028137320 is an apocalyptic number.

1028137320 is a gapful number since it is divisible by the number (10) 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 1028137320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090188800).

1028137320 is an abundant number, since it is smaller than the sum of its proper divisors (3152240280).

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

1028137320 is a wasteful number, since it uses less digits than its factorization.

1028137320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1028137320 is about 32064.5804588178. The cubic root of 1028137320 is about 1009.2924888478.

The spelling of 1028137320 in words is "one billion, twenty-eight million, one hundred thirty-seven thousand, three hundred twenty".