28969034390100 has 432 divisors, whose sum is σ = 105015159849600. Its totient is φ = 6542702899200.

The previous prime is 28969034390083. The next prime is 28969034390129. The reversal of 28969034390100 is 109343096982.

28969034390100 is a `hidden beast` number, since 28 + 9 + 6 + 90 + 343 + 90 + 100 = 666.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 192219576 + ... + 192370224.

It is an arithmetic number, because the mean of its divisors is an integer number (243090647800).

Almost surely, 2^{28969034390100} is an apocalyptic number.

28969034390100 is a gapful number since it is divisible by the number (20) 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 28969034390100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52507579924800).

28969034390100 is an abundant number, since it is smaller than the sum of its proper divisors (76046125459500).

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

28969034390100 is a wasteful number, since it uses less digits than its factorization.

28969034390100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151040 (or 151030 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 28969034390100 in words is "twenty-eight trillion, nine hundred sixty-nine billion, thirty-four million, three hundred ninety thousand, one hundred".