1428029058060 has 288 divisors, whose sum is σ = 4907835878400. Its totient is φ = 333079096320.

The previous prime is 1428029058017. The next prime is 1428029058073. The reversal of 1428029058060 is 608509208241.

1428029058060 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 0 + 2 + 9 + 0 + 580 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1428029057997 and 1428029058015.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5360496 + ... + 5620584.

It is an arithmetic number, because the mean of its divisors is an integer number (17041096800).

Almost surely, 2^{1428029058060} is an apocalyptic number.

1428029058060 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 1428029058060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453917939200).

1428029058060 is an abundant number, since it is smaller than the sum of its proper divisors (3479806820340).

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

1428029058060 is a wasteful number, since it uses less digits than its factorization.

1428029058060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260221 (or 260216 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1428029058060 in words is "one trillion, four hundred twenty-eight billion, twenty-nine million, fifty-eight thousand, sixty".