1028734659360 has 192 divisors, whose sum is σ = 3790075363200. Its totient is φ = 259890840576.

The previous prime is 1028734659301. The next prime is 1028734659371. The reversal of 1028734659360 is 639564378201.

1028734659360 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 7 + 3 + 46 + 593 + 6 + 0 = 666.

1028734659360 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1028734659360³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1028734659297 and 1028734659306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6184579 + ... + 6348738.

It is an arithmetic number, because the mean of its divisors is an integer number (19739975850).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1028734659360 = 2057469318720, but 3⋅1028734659360 = 3086203978080 is not.

Almost surely, 2^{1028734659360} is an apocalyptic number.

1028734659360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1028734659360 is an abundant number, since it is smaller than the sum of its proper divisors (2761340703840).

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

1028734659360 is a wasteful number, since it uses less digits than its factorization.

1028734659360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12533360 (or 12533346 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 1028734659360 in words is "one trillion, twenty-eight billion, seven hundred thirty-four million, six hundred fifty-nine thousand, three hundred sixty".