1027621728000 has 3024 divisors, whose sum is σ = 4767731055360. Its totient is φ = 219469824000.

The previous prime is 1027621727947. The next prime is 1027621728037. The reversal of 1027621728000 is 8271267201.

1027621728000 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 621 + 7 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 33149087985 + ... + 33149088015.

It is an arithmetic number, because the mean of its divisors is an integer number (1576630640).

Almost surely, 2^{1027621728000} is an apocalyptic number.

1027621728000 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 1027621728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383865527680).

1027621728000 is an abundant number, since it is smaller than the sum of its proper divisors (3740109327360).

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

1027621728000 is an frugal number, since it uses more digits than its factorization.

1027621728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 1027621728000 in words is "one trillion, twenty-seven billion, six hundred twenty-one million, seven hundred twenty-eight thousand".