1028952499968 has 648 divisors, whose sum is σ = 3243094318464. Its totient is φ = 313373491200.

The previous prime is 1028952499849. The next prime is 1028952499987. The reversal of 1028952499968 is 8699942598201.

1028952499968 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 9 + 524 + 9 + 9 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1028952499896 and 1028952499905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4269512328 + ... + 4269512568.

Almost surely, 2^{1028952499968} is an apocalyptic number.

1028952499968 is a gapful number since it is divisible by the number (18) 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 1028952499968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621547159232).

1028952499968 is an abundant number, since it is smaller than the sum of its proper divisors (2214141818496).

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

1028952499968 is a wasteful number, since it uses less digits than its factorization.

1028952499968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 1028952499968 in words is "one trillion, twenty-eight billion, nine hundred fifty-two million, four hundred ninety-nine thousand, nine hundred sixty-eight".