1028809299840 has 768 divisors, whose sum is σ = 3934077984000. Its totient is φ = 227914186752.

The previous prime is 1028809299823. The next prime is 1028809299841. The reversal of 1028809299840 is 489929088201.

It is a hoax number, since the sum of its digits (60) 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 (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028809299841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 405201291 + ... + 405203829.

It is an arithmetic number, because the mean of its divisors is an integer number (5122497375).

Almost surely, 2^{1028809299840} is an apocalyptic number.

1028809299840 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 1028809299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967038992000).

1028809299840 is an abundant number, since it is smaller than the sum of its proper divisors (2905268684160).

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

1028809299840 is a wasteful number, since it uses less digits than its factorization.

1028809299840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 60.

The spelling of 1028809299840 in words is "one trillion, twenty-eight billion, eight hundred nine million, two hundred ninety-nine thousand, eight hundred forty".