28777695171840 has 576 divisors, whose sum is σ = 107530683321600. Its totient is φ = 7267784196096.

The previous prime is 28777695171829. The next prime is 28777695171931. The reversal of 28777695171840 is 4817159677782.

28777695171840 is a `hidden beast` number, since 2 + 8 + 7 + 7 + 7 + 69 + 517 + 1 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2926639564 + ... + 2926649396.

It is an arithmetic number, because the mean of its divisors is an integer number (186685214100).

Almost surely, 2^{28777695171840} is an apocalyptic number.

28777695171840 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 28777695171840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53765341660800).

28777695171840 is an abundant number, since it is smaller than the sum of its proper divisors (78752988149760).

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

28777695171840 is a wasteful number, since it uses less digits than its factorization.

28777695171840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14339 (or 14319 counting only the distinct ones).

The product of its (nonzero) digits is 331914240, while the sum is 72.

The spelling of 28777695171840 in words is "twenty-eight trillion, seven hundred seventy-seven billion, six hundred ninety-five million, one hundred seventy-one thousand, eight hundred forty".