1428986350260 has 288 divisors, whose sum is σ = 5208788592000. Its totient is φ = 324274793472.

The previous prime is 1428986350243. The next prime is 1428986350261. The reversal of 1428986350260 is 620536898241.

1428986350260 is a `hidden beast` number, since 1 + 4 + 28 + 9 + 8 + 6 + 350 + 260 = 666.

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 = 1428986350197 and 1428986350206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428986350261) 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, 3483676 + ... + 3872204.

It is an arithmetic number, because the mean of its divisors is an integer number (18086071500).

Almost surely, 2^{1428986350260} is an apocalyptic number.

1428986350260 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 1428986350260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604394296000).

1428986350260 is an abundant number, since it is smaller than the sum of its proper divisors (3779802241740).

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

1428986350260 is a wasteful number, since it uses less digits than its factorization.

1428986350260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388700 (or 388685 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1428986350260 in words is "one trillion, four hundred twenty-eight billion, nine hundred eighty-six million, three hundred fifty thousand, two hundred sixty".