28607962687488 has 576 divisors, whose sum is σ = 87078545648640. Its totient is φ = 9045043937280.

The previous prime is 28607962687429. The next prime is 28607962687489. The reversal of 28607962687488 is 88478626970682.

28607962687488 is a `hidden beast` number, since 2 + 8 + 6 + 0 + 79 + 6 + 2 + 68 + 7 + 488 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28607962687489) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29102708245 + ... + 29102709227.

It is an arithmetic number, because the mean of its divisors is an integer number (151178030640).

Almost surely, 2^{28607962687488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28607962687488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43539272824320).

28607962687488 is an abundant number, since it is smaller than the sum of its proper divisors (58470582961152).

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

28607962687488 is an frugal number, since it uses more digits than its factorization.

28607962687488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 6242697216, while the sum is 81.

The spelling of 28607962687488 in words is "twenty-eight trillion, six hundred seven billion, nine hundred sixty-two million, six hundred eighty-seven thousand, four hundred eighty-eight".