1028662942720 has 264 divisors, whose sum is σ = 3021547386960. Its totient is φ = 334120550400.

The previous prime is 1028662942693. The next prime is 1028662942759. The reversal of 1028662942720 is 272492668201.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

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, 4658820 + ... + 4874620.

Almost surely, 2^{1028662942720} is an apocalyptic number.

1028662942720 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 1028662942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510773693480).

1028662942720 is an abundant number, since it is smaller than the sum of its proper divisors (1992884444240).

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

1028662942720 is a wasteful number, since it uses less digits than its factorization.

1028662942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215859 (or 215834 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 1028662942720 in words is "one trillion, twenty-eight billion, six hundred sixty-two million, nine hundred forty-two thousand, seven hundred twenty".