428738436 has 243 divisors, whose sum is σ = 1386988239. Its totient is φ = 111315456.

The previous prime is 428738413. The next prime is 428738437. The reversal of 428738436 is 634837824.

428738436 = 1³ + 2³ + ... + 203³.

The square root of 428738436 is 20706.

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 42380100 + 386358336 = 6510^2 + 19656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 428738391 and 428738400.

It is not an unprimeable number, because it can be changed into a prime (428738437) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14784070 + ... + 14784098.

Almost surely, 2^428738436 is an apocalyptic number.

428738436 is the 20706-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428738436

428738436 is an abundant number, since it is smaller than the sum of its proper divisors (958249803).

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

428738436 is a wasteful number, since it uses less digits than its factorization.

428738436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 58 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The cubic root of 428738436 is about 754.0453621624.

The spelling of 428738436 in words is "four hundred twenty-eight million, seven hundred thirty-eight thousand, four hundred thirty-six".