172028610 has 240 divisors, whose sum is σ = 545014008. Its totient is φ = 38568960.

The previous prime is 172028587. The next prime is 172028611. The reversal of 172028610 is 16820271.

172028610 is a `hidden beast` number, since 1 + 7 + 20 + 28 + 610 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130850721 + 41177889 = 11439^2 + 6417^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (172028611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5549295 + ... + 5549325.

Almost surely, 2^172028610 is an apocalyptic number.

172028610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 172028610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272507004).

172028610 is an abundant number, since it is smaller than the sum of its proper divisors (372985398).

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

172028610 is a wasteful number, since it uses less digits than its factorization.

172028610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 172028610 is about 13115.9677492742. The cubic root of 172028610 is about 556.1606099676.

Adding to 172028610 its reverse (16820271), we get a palindrome (188848881).

The spelling of 172028610 in words is "one hundred seventy-two million, twenty-eight thousand, six hundred ten".