1028947680 has 144 divisors (see below), whose sum is σ = 3554001360. Its totient is φ = 271048704.

The previous prime is 1028947657. The next prime is 1028947687. The reversal of 1028947680 is 867498201.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028947687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115216 + ... + 123824.

It is an arithmetic number, because the mean of its divisors is an integer number (24680565).

Almost surely, 2^1028947680 is an apocalyptic number.

1028947680 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 1028947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777000680).

1028947680 is an abundant number, since it is smaller than the sum of its proper divisors (2525053680).

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

1028947680 is a wasteful number, since it uses less digits than its factorization.

1028947680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8713 (or 8702 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1028947680 is about 32077.2143428946. The cubic root of 1028947680 is about 1009.5575881548.

The spelling of 1028947680 in words is "one billion, twenty-eight million, nine hundred forty-seven thousand, six hundred eighty".