1028980992 has 144 divisors (see below), whose sum is σ = 3078165888. Its totient is φ = 302776320.

The previous prime is 1028980951. The next prime is 1028981017. The reversal of 1028980992 is 2990898201.

It is a super-3 number, since 3×1028980992³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227392 + ... + 231872.

It is an arithmetic number, because the mean of its divisors is an integer number (21376152).

Almost surely, 2^1028980992 is an apocalyptic number.

1028980992 is a gapful number since it is divisible by the number (12) 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 1028980992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539082944).

1028980992 is an abundant number, since it is smaller than the sum of its proper divisors (2049184896).

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

1028980992 is a wasteful number, since it uses less digits than its factorization.

1028980992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4536 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 1028980992 is about 32077.7335857757. The cubic root of 1028980992 is about 1009.5684827869.

The spelling of 1028980992 in words is "one billion, twenty-eight million, nine hundred eighty thousand, nine hundred ninety-two".