88428638349 has 24 divisors (see below), whose sum is σ = 130381567992. Its totient is φ = 57737041920.

The previous prime is 88428638327. The next prime is 88428638399. The reversal of 88428638349 is 94383682488.

88428638349 is a `hidden beast` number, since 8 + 8 + 4 + 286 + 3 + 8 + 349 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3170478249 + 85258160100 = 56307^2 + 291990^2 .

It is not a de Polignac number, because 88428638349 - 2²⁴ = 88411861133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88428638399) 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 23 ways as a sum of consecutive naturals, for example, 217732 + ... + 473565.

It is an arithmetic number, because the mean of its divisors is an integer number (5432565333).

Almost surely, 2^88428638349 is an apocalyptic number.

It is an amenable number.

88428638349 is a deficient number, since it is larger than the sum of its proper divisors (41952929643).

88428638349 is a wasteful number, since it uses less digits than its factorization.

88428638349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691597 (or 691594 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 88428638349 in words is "eighty-eight billion, four hundred twenty-eight million, six hundred thirty-eight thousand, three hundred forty-nine".