262428672 has 144 divisors (see below), whose sum is σ = 771203160. Its totient is φ = 79298560.

The previous prime is 262428629. The next prime is 262428701. The reversal of 262428672 is 276824262.

It is a self number, because there is not a number n which added to its sum of digits gives 262428672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 743248 + ... + 743600.

Almost surely, 2^262428672 is an apocalyptic number.

262428672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 262428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385601580).

262428672 is an abundant number, since it is smaller than the sum of its proper divisors (508774488).

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

262428672 is a wasteful number, since it uses less digits than its factorization.

262428672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 369 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 262428672 is about 16199.6503665974. The cubic root of 262428672 is about 640.2315828587.

The spelling of 262428672 in words is "two hundred sixty-two million, four hundred twenty-eight thousand, six hundred seventy-two".