1028743632900 has 81 divisors (see below), whose sum is σ = 3224635142911. Its totient is φ = 274323521280.

The previous prime is 1028743632893. The next prime is 1028743632901. The reversal of 1028743632900 is 92363478201.

The square root of 1028743632900 is 1014270.

It is a perfect power (a square), and thus also a powerful number.

1028743632900 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 7 + 4 + 3 + 632 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6428511684 + 1022315121216 = 80178^2 + 1011096^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1028743632901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30411196 + ... + 30445004.

Almost surely, 2^{1028743632900} is an apocalyptic number.

1028743632900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1028743632900 is the 1014270-th square number.

It is an amenable number.

1028743632900 is an abundant number, since it is smaller than the sum of its proper divisors (2195891510011).

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

1028743632900 is an frugal number, since it uses more digits than its factorization.

1028743632900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67638 (or 33819 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1028743632900 in words is "one trillion, twenty-eight billion, seven hundred forty-three million, six hundred thirty-two thousand, nine hundred".