601428828672 has 360 divisors, whose sum is σ = 2021831064396. Its totient is φ = 171609145344.

The previous prime is 601428828653. The next prime is 601428828703. The reversal of 601428828672 is 276828824106.

601428828672 is a `hidden beast` number, since 6 + 0 + 14 + 288 + 286 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 407983677696 + 193445150976 = 638736^2 + 439824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 246789438 + ... + 246791874.

Almost surely, 2^601428828672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601428828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010915532198).

601428828672 is an abundant number, since it is smaller than the sum of its proper divisors (1420402235724).

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

601428828672 is a wasteful number, since it uses less digits than its factorization.

601428828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 3542 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 601428828672 in words is "six hundred one billion, four hundred twenty-eight million, eight hundred twenty-eight thousand, six hundred seventy-two".