28719400320 has 576 divisors, whose sum is σ = 108642839760. Its totient is φ = 6987202560.

The previous prime is 28719400291. The next prime is 28719400331. The reversal of 28719400320 is 2300491782.

28719400320 is a `hidden beast` number, since 287 + 19 + 40 + 0 + 320 = 666.

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

It is a super-2 number, since 2×28719400320² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158670630 + ... + 158670810.

Almost surely, 2^28719400320 is an apocalyptic number.

28719400320 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 28719400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54321419880).

28719400320 is an abundant number, since it is smaller than the sum of its proper divisors (79923439440).

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

28719400320 is a wasteful number, since it uses less digits than its factorization.

28719400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 28719400320 in words is "twenty-eight billion, seven hundred nineteen million, four hundred thousand, three hundred twenty".