28329095498400 has 144 divisors (see below), whose sum is σ = 102456895464000. Its totient is φ = 7554425460480.

The previous prime is 28329095498323. The next prime is 28329095498411. The reversal of 28329095498400 is 489459092382.

28329095498400 is a `hidden beast` number, since 2 + 8 + 3 + 2 + 9 + 0 + 9 + 549 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×28329095498400³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 655744500 + ... + 655787699.

It is an arithmetic number, because the mean of its divisors is an integer number (711506218500).

Almost surely, 2^{28329095498400} is an apocalyptic number.

28329095498400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28329095498400 is an abundant number, since it is smaller than the sum of its proper divisors (74127799965600).

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

28329095498400 is a wasteful number, since it uses less digits than its factorization.

28329095498400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311532228 (or 1311532209 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 28329095498400 in words is "twenty-eight trillion, three hundred twenty-nine billion, ninety-five million, four hundred ninety-eight thousand, four hundred".