28177760 has 192 divisors, whose sum is σ = 81285120. Its totient is φ = 9123840.

The previous prime is 28177739. The next prime is 28177801. The reversal of 28177760 is 6777182.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 908945 + ... + 908975.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 2^28177760 is an apocalyptic number.

28177760 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 28177760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40642560).

28177760 is an abundant number, since it is smaller than the sum of its proper divisors (53107360).

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

28177760 is a wasteful number, since it uses less digits than its factorization.

28177760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 38.

The square root of 28177760 is about 5308.2727887704. The cubic root of 28177760 is about 304.3001421657.

The spelling of 28177760 in words is "twenty-eight million, one hundred seventy-seven thousand, seven hundred sixty".