35728560400 has 135 divisors (see below), whose sum is σ = 93076723791. Its totient is φ = 13173937920.

The previous prime is 35728560359. The next prime is 35728560403. The reversal of 35728560400 is 406582753.

The square root of 35728560400 is 189020.

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 9209089296 + 26519471104 = 95964^2 + 162848^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35728560403) 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, 49144837 + ... + 49145563.

Almost surely, 2^35728560400 is an apocalyptic number.

35728560400 is the 189020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35728560400

35728560400 is an abundant number, since it is smaller than the sum of its proper divisors (57348163391).

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

35728560400 is an equidigital number, since it uses as much as digits as its factorization.

35728560400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 35728560400 in words is "thirty-five billion, seven hundred twenty-eight million, five hundred sixty thousand, four hundred".