131628828870 has 240 divisors, whose sum is σ = 449151289488. Its totient is φ = 27351354240.

The previous prime is 131628828869. The next prime is 131628828871. The reversal of 131628828870 is 78828826131.

131628828870 is a `hidden beast` number, since 1 + 3 + 1 + 628 + 8 + 2 + 8 + 8 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131628828869) and next prime (131628828871).

It is a super-2 number, since 2×131628828870² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131628828871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 285844 + ... + 587336.

Almost surely, 2^131628828870 is an apocalyptic number.

131628828870 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 131628828870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224575644744).

131628828870 is an abundant number, since it is smaller than the sum of its proper divisors (317522460618).

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

131628828870 is a wasteful number, since it uses less digits than its factorization.

131628828870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301537 (or 301521 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 131628828870 in words is "one hundred thirty-one billion, six hundred twenty-eight million, eight hundred twenty-eight thousand, eight hundred seventy".