28348806700431 has 96 divisors (see below), whose sum is σ = 48337947840000. Its totient is φ = 16000994161152.

The previous prime is 28348806700421. The next prime is 28348806700441. The reversal of 28348806700431 is 13400760884382.

28348806700431 is a `hidden beast` number, since 28 + 3 + 48 + 80 + 6 + 70 + 0 + 431 = 666.

It is an interprime number because it is at equal distance from previous prime (28348806700421) and next prime (28348806700441).

It is not a de Polignac number, because 28348806700431 - 2⁶ = 28348806700367 is a prime.

It is a super-4 number, since 4×28348806700431⁴ (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28348806700421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2064878175 + ... + 2064891903.

It is an arithmetic number, because the mean of its divisors is an integer number (503520290000).

Almost surely, 2^{28348806700431} is an apocalyptic number.

28348806700431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

28348806700431 is a deficient number, since it is larger than the sum of its proper divisors (19989141139569).

28348806700431 is a wasteful number, since it uses less digits than its factorization.

28348806700431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21898 (or 21881 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 28348806700431 in words is "twenty-eight trillion, three hundred forty-eight billion, eight hundred six million, seven hundred thousand, four hundred thirty-one".