128993948928 has 576 divisors, whose sum is σ = 428003788800. Its totient is φ = 38537109504.

The previous prime is 128993948921. The next prime is 128993948953. The reversal of 128993948928 is 829849399821.

128993948928 is a `hidden beast` number, since 1 + 2 + 8 + 99 + 39 + 489 + 28 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128993948921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269298193 + ... + 269298671.

Almost surely, 2^128993948928 is an apocalyptic number.

128993948928 is a gapful number since it is divisible by the number (18) 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 128993948928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214001894400).

128993948928 is an abundant number, since it is smaller than the sum of its proper divisors (299009839872).

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

128993948928 is an frugal number, since it uses more digits than its factorization.

128993948928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 534 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 72.

The spelling of 128993948928 in words is "one hundred twenty-eight billion, nine hundred ninety-three million, nine hundred forty-eight thousand, nine hundred twenty-eight".