1028522880 has 512 divisors, whose sum is σ = 4547404800. Its totient is φ = 213442560.

The previous prime is 1028522861. The next prime is 1028522897. The reversal of 1028522880 is 882258201.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1330174 + ... + 1330946.

It is an arithmetic number, because the mean of its divisors is an integer number (8881650).

Almost surely, 2^1028522880 is an apocalyptic number.

1028522880 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 1028522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273702400).

1028522880 is an abundant number, since it is smaller than the sum of its proper divisors (3518881920).

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

1028522880 is a wasteful number, since it uses less digits than its factorization.

1028522880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 1028522880 is about 32070.5921367224. The cubic root of 1028522880 is about 1009.4186374243.

The spelling of 1028522880 in words is "one billion, twenty-eight million, five hundred twenty-two thousand, eight hundred eighty".