28219760640 has 896 divisors, whose sum is σ = 113239296000. Its totient is φ = 6624903168.

The previous prime is 28219760627. The next prime is 28219760663. The reversal of 28219760640 is 4606791282.

It is a happy number.

28219760640 is a `hidden beast` number, since 28 + 2 + 19 + 7 + 606 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 357212121 + ... + 357212199.

Almost surely, 2^28219760640 is an apocalyptic number.

28219760640 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 28219760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56619648000).

28219760640 is an abundant number, since it is smaller than the sum of its proper divisors (85019535360).

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

28219760640 is a wasteful number, since it uses less digits than its factorization.

28219760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 28219760640 in words is "twenty-eight billion, two hundred nineteen million, seven hundred sixty thousand, six hundred forty".