27928089904400 has 240 divisors, whose sum is σ = 77083842461184. Its totient is φ = 9525313904640.

The previous prime is 27928089904381. The next prime is 27928089904417. The reversal of 27928089904400 is 440998082972.

It is a super-2 number, since 2×27928089904400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 715663289 + ... + 715702311.

Almost surely, 2^{27928089904400} is an apocalyptic number.

27928089904400 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 27928089904400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38541921230592).

27928089904400 is an abundant number, since it is smaller than the sum of its proper divisors (49155752556784).

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

27928089904400 is a wasteful number, since it uses less digits than its factorization.

27928089904400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40378 (or 40367 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 62.

The spelling of 27928089904400 in words is "twenty-seven trillion, nine hundred twenty-eight billion, eighty-nine million, nine hundred four thousand, four hundred".