28619687625984 has 2592 divisors, whose sum is σ = 116125064939520. Its totient is φ = 6826281910272.

The previous prime is 28619687625983. The next prime is 28619687626021. The reversal of 28619687625984 is 48952678691682.

28619687625984 is a `hidden beast` number, since 2 + 8 + 6 + 19 + 6 + 8 + 7 + 6 + 2 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28619687625983) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 56897987077 + ... + 56897987579.

Almost surely, 2^{28619687625984} is an apocalyptic number.

28619687625984 is a gapful number since it is divisible by the number (24) 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 28619687625984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58062532469760).

28619687625984 is an abundant number, since it is smaller than the sum of its proper divisors (87505377313536).

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

28619687625984 is a wasteful number, since it uses less digits than its factorization.

28619687625984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 570 counting only the distinct ones).

The product of its digits is 5016453120, while the sum is 81.

The spelling of 28619687625984 in words is "twenty-eight trillion, six hundred nineteen billion, six hundred eighty-seven million, six hundred twenty-five thousand, nine hundred eighty-four".