28538951616 has 420 divisors, whose sum is σ = 99006876408. Its totient is φ = 8104707072.

The previous prime is 28538951611. The next prime is 28538951621. The reversal of 28538951616 is 61615983582.

28538951616 is a `hidden beast` number, since 2 + 8 + 538 + 95 + 1 + 6 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (28538951611) and next prime (28538951621).

It is a super-2 number, since 2×28538951616² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28538951611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 71886330 + ... + 71886726.

Almost surely, 2^28538951616 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 28538951616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49503438204).

28538951616 is an abundant number, since it is smaller than the sum of its proper divisors (70467924792).

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

28538951616 is a wasteful number, since it uses less digits than its factorization.

28538951616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 692 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 28538951616 in words is "twenty-eight billion, five hundred thirty-eight million, nine hundred fifty-one thousand, six hundred sixteen".