1028820384 has 72 divisors (see below), whose sum is σ = 2930798052. Its totient is φ = 342343680.

The previous prime is 1028820361. The next prime is 1028820389. The reversal of 1028820384 is 4830288201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1025792784 + 3027600 = 32028^2 + 1740^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028820389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181822 + ... + 187394.

Almost surely, 2^1028820384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028820384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465399026).

1028820384 is an abundant number, since it is smaller than the sum of its proper divisors (1901977668).

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

1028820384 is a wasteful number, since it uses less digits than its factorization.

1028820384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6230 (or 6219 counting only the distinct ones).

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

The square root of 1028820384 is about 32075.2300693230. The cubic root of 1028820384 is about 1009.5159540512.

The spelling of 1028820384 in words is "one billion, twenty-eight million, eight hundred twenty thousand, three hundred eighty-four".