1154428093728 has 336 divisors, whose sum is σ = 4193991256896. Its totient is φ = 304463992320.

The previous prime is 1154428093703. The next prime is 1154428093739. The reversal of 1154428093728 is 8273908244511.

1154428093728 is a `hidden beast` number, since 1 + 1 + 544 + 2 + 8 + 0 + 93 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1850943 + ... + 2394753.

It is an arithmetic number, because the mean of its divisors is an integer number (12482116836).

Almost surely, 2^{1154428093728} is an apocalyptic number.

1154428093728 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 1154428093728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096995628448).

1154428093728 is an abundant number, since it is smaller than the sum of its proper divisors (3039563163168).

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

1154428093728 is an equidigital number, since it uses as much as digits as its factorization.

1154428093728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543859 (or 543836 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1154428093728 in words is "one trillion, one hundred fifty-four billion, four hundred twenty-eight million, ninety-three thousand, seven hundred twenty-eight".