28815161211648 has 2160 divisors, whose sum is σ = 108891193399296. Its totient is φ = 7444595589120.

The previous prime is 28815161211643. The next prime is 28815161211649. The reversal of 28815161211648 is 84611216151882.

28815161211648 is a `hidden beast` number, since 2 + 8 + 8 + 1 + 5 + 1 + 612 + 1 + 16 + 4 + 8 = 666.

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

Its product of digits (1474560) is a multiple of the sum of its prime factors (192).

It is a junction number, because it is equal to n+sod(n) for n = 28815161211594 and 28815161211603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28815161211643) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 394728235740 + ... + 394728235812.

Almost surely, 2^{28815161211648} is an apocalyptic number.

28815161211648 is a gapful number since it is divisible by the number (28) 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 28815161211648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54445596699648).

28815161211648 is an abundant number, since it is smaller than the sum of its proper divisors (80076032187648).

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

28815161211648 is an frugal number, since it uses more digits than its factorization.

28815161211648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 135 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 54.

The spelling of 28815161211648 in words is "twenty-eight trillion, eight hundred fifteen billion, one hundred sixty-one million, two hundred eleven thousand, six hundred forty-eight".