1428097593888 has 288 divisors, whose sum is σ = 4685940080640. Its totient is φ = 404116231680.

The previous prime is 1428097593877. The next prime is 1428097593929. The reversal of 1428097593888 is 8883957908241.

1428097593888 is a `hidden beast` number, since 1 + 4 + 28 + 0 + 9 + 7 + 593 + 8 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158479303 + ... + 158488313.

It is an arithmetic number, because the mean of its divisors is an integer number (16270625280).

Almost surely, 2^{1428097593888} is an apocalyptic number.

1428097593888 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 1428097593888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342970040320).

1428097593888 is an abundant number, since it is smaller than the sum of its proper divisors (3257842486752).

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

1428097593888 is a wasteful number, since it uses less digits than its factorization.

1428097593888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9780 (or 9769 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 1428097593888 in words is "one trillion, four hundred twenty-eight billion, ninety-seven million, five hundred ninety-three thousand, eight hundred eighty-eight".