1428374861928 has 512 divisors, whose sum is σ = 4855334400000. Its totient is φ = 380026183680.

The previous prime is 1428374861891. The next prime is 1428374861989. The reversal of 1428374861928 is 8291684738241.

It is a happy number.

1428374861928 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 3 + 7 + 4 + 8 + 619 + 2 + 8 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 457664208 + ... + 457667328.

It is an arithmetic number, because the mean of its divisors is an integer number (9483075000).

Almost surely, 2^{1428374861928} is an apocalyptic number.

1428374861928 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 1428374861928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427667200000).

1428374861928 is an abundant number, since it is smaller than the sum of its proper divisors (3426959538072).

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

1428374861928 is a wasteful number, since it uses less digits than its factorization.

1428374861928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430 (or 3420 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 1428374861928 in words is "one trillion, four hundred twenty-eight billion, three hundred seventy-four million, eight hundred sixty-one thousand, nine hundred twenty-eight".