262080028 has 72 divisors (see below), whose sum is σ = 556748640. Its totient is φ = 107533440.

The previous prime is 262080023. The next prime is 262080043. The reversal of 262080028 is 820080262.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 262079978 and 262080005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (262080023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514638 + ... + 515146.

It is an arithmetic number, because the mean of its divisors is an integer number (7732620).

Almost surely, 2^262080028 is an apocalyptic number.

262080028 is a gapful number since it is divisible by the number (28) 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 262080028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278374320).

262080028 is an abundant number, since it is smaller than the sum of its proper divisors (294668612).

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

262080028 is a wasteful number, since it uses less digits than its factorization.

262080028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 262080028 is about 16188.8859406693. The cubic root of 262080028 is about 639.9479352177.

The spelling of 262080028 in words is "two hundred sixty-two million, eighty thousand, twenty-eight".