35428922928400 has 135 divisors (see below), whose sum is σ = 85458831730671. Its totient is φ = 14115046890240.

The previous prime is 35428922928253. The next prime is 35428922928431. The reversal of 35428922928400 is 482922982453.

The square root of 35428922928400 is 5952220.

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

It can be written as a sum of positive squares in 4 ways, for example, as 153685952784 + 35275236975616 = 392028^2 + 5939296^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42736939186 + ... + 42736940014.

Almost surely, 2^{35428922928400} is an apocalyptic number.

35428922928400 is the 5952220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35428922928400

35428922928400 is an abundant number, since it is smaller than the sum of its proper divisors (50029908802271).

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

35428922928400 is an frugal number, since it uses more digits than its factorization.

35428922928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 58.

The spelling of 35428922928400 in words is "thirty-five trillion, four hundred twenty-eight billion, nine hundred twenty-two million, nine hundred twenty-eight thousand, four hundred".