428238051201 has 33 divisors (see below), whose sum is σ = 642592066339. Its totient is φ = 285386021496.

The previous prime is 428238051133. The next prime is 428238051223. The reversal of 428238051201 is 102150832824.

It is a happy number.

The square root of 428238051201 is 654399.

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

428238051201 is a `hidden beast` number, since 4 + 28 + 2 + 380 + 51 + 201 = 666.

428238051201 is digitally balanced in base 4, 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 only one way, i.e., 175707680625 + 252530370576 = 419175^2 + 502524^2 .

It is a de Polignac number, because none of the positive numbers 2^k-428238051201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428238051271) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 159017611 + ... + 159020303.

Almost surely, 2^428238051201 is an apocalyptic number.

428238051201 is the 654399-th square number.

428238051201 is the 327200-th centered octagonal number.

It is an amenable number.

428238051201 is a deficient number, since it is larger than the sum of its proper divisors (214354015138).

428238051201 is an frugal number, since it uses more digits than its factorization.

428238051201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5416 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Multiplying 428238051201 by its sum of digits (36), we get a square (15416569843236 = 3926394²).

The spelling of 428238051201 in words is "four hundred twenty-eight billion, two hundred thirty-eight million, fifty-one thousand, two hundred one".