4628728496704 has 189 divisors, whose sum is σ = 10085951874411. Its totient is φ = 2106697881600.

The previous prime is 4628728496669. The next prime is 4628728496731. The reversal of 4628728496704 is 4076948278264.

The square root of 4628728496704 is 2151448.

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 411455536704 + 4217272960000 = 641448^2 + 2053600^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4628728496704.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30653831029 + ... + 30653831179.

Almost surely, 2^{4628728496704} is an apocalyptic number.

4628728496704 is the 2151448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4628728496704

4628728496704 is an abundant number, since it is smaller than the sum of its proper divisors (5457223377707).

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

4628728496704 is an equidigital number, since it uses as much as digits as its factorization.

4628728496704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 67.

The spelling of 4628728496704 in words is "four trillion, six hundred twenty-eight billion, seven hundred twenty-eight million, four hundred ninety-six thousand, seven hundred four".