28046198400 has 384 divisors, whose sum is σ = 101196648000. Its totient is φ = 6770688000.

The previous prime is 28046198359. The next prime is 28046198407. The reversal of 28046198400 is 489164082.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (28046198407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36854020 + ... + 36854780.

Almost surely, 2^28046198400 is an apocalyptic number.

28046198400 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 28046198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50598324000).

28046198400 is an abundant number, since it is smaller than the sum of its proper divisors (73150449600).

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

28046198400 is a wasteful number, since it uses less digits than its factorization.

28046198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 28046198400 in words is "twenty-eight billion, forty-six million, one hundred ninety-eight thousand, four hundred".