1926728294400 has 2016 divisors, whose sum is σ = 8883795775680. Its totient is φ = 405775319040.

The previous prime is 1926728294389. The next prime is 1926728294411. The reversal of 1926728294400 is 44928276291.

It is a happy number.

1926728294400 is a `hidden beast` number, since 1 + 9 + 2 + 6 + 72 + 82 + 94 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1926728294389) and next prime (1926728294411).

It is a tau number, because it is divible by the number of its divisors (2016).

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 143 ways as a sum of consecutive naturals, for example, 3522354927 + ... + 3522355473.

It is an arithmetic number, because the mean of its divisors is an integer number (4406644730).

Almost surely, 2^{1926728294400} is an apocalyptic number.

1926728294400 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 1926728294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441897887840).

1926728294400 is an abundant number, since it is smaller than the sum of its proper divisors (6957067481280).

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

1926728294400 is a wasteful number, since it uses less digits than its factorization.

1926728294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1926728294400 in words is "one trillion, nine hundred twenty-six billion, seven hundred twenty-eight million, two hundred ninety-four thousand, four hundred".