28177344000 has 960 divisors, whose sum is σ = 112927022208. Its totient is φ = 6709248000.

The previous prime is 28177343981. The next prime is 28177344007. The reversal of 28177344000 is 44377182.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28177344007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 396863965 + ... + 396864035.

Almost surely, 2^28177344000 is an apocalyptic number.

28177344000 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 28177344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56463511104).

28177344000 is an abundant number, since it is smaller than the sum of its proper divisors (84749678208).

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

28177344000 is a wasteful number, since it uses less digits than its factorization.

28177344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 28177344000 in words is "twenty-eight billion, one hundred seventy-seven million, three hundred forty-four thousand".