9728654400 has 126 divisors (see below), whose sum is σ = 34577985962. Its totient is φ = 2594304000.

The previous prime is 9728654393. The next prime is 9728654423. The reversal of 9728654400 is 44568279.

It is a happy number.

9728654400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 41370624 + 9687283776 = 6432^2 + 98424^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 323401 + ... + 352200.

Almost surely, 2^9728654400 is an apocalyptic number.

9728654400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9728654400 is an abundant number, since it is smaller than the sum of its proper divisors (24849331562).

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

9728654400 is a wasteful number, since it uses less digits than its factorization.

9728654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675629 (or 675611 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 9728654400 is about 98633.9414197770. The cubic root of 9728654400 is about 2134.7691852847.

It can be divided in two parts, 9728 and 654400, that added together give a triangular number (664128 = T₁₁₅₂).

The spelling of 9728654400 in words is "nine billion, seven hundred twenty-eight million, six hundred fifty-four thousand, four hundred".