428511528270400 has 63 divisors (see below), whose sum is σ = 1054408216702971. Its totient is φ = 171404280099840.

The previous prime is 428511528270379. The next prime is 428511528270479. The reversal of 428511528270400 is 4072825115824.

The square root of 428511528270400 is 20700520.

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 5838718326336 + 422672809944064 = 2416344^2 + 20559008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 827762044 + ... + 828279556.

Almost surely, 2^{428511528270400} is an apocalyptic number.

428511528270400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

428511528270400 is the 20700520-th square number.

It is an amenable number.

428511528270400 is an abundant number, since it is smaller than the sum of its proper divisors (625896688432571).

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

428511528270400 is an frugal number, since it uses more digits than its factorization.

428511528270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035048 (or 517520 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 49.

The spelling of 428511528270400 in words is "four hundred twenty-eight trillion, five hundred eleven billion, five hundred twenty-eight million, two hundred seventy thousand, four hundred".