28797442128 has 480 divisors, whose sum is σ = 105644238336. Its totient is φ = 7106199552.

The previous prime is 28797442127. The next prime is 28797442129. The reversal of 28797442128 is 82124479782.

28797442128 is a `hidden beast` number, since 2 + 8 + 79 + 7 + 442 + 128 = 666.

It is an interprime number because it is at equal distance from previous prime (28797442127) and next prime (28797442129).

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 (28797442127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57251125 + ... + 57251627.

Almost surely, 2^28797442128 is an apocalyptic number.

28797442128 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 28797442128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52822119168).

28797442128 is an abundant number, since it is smaller than the sum of its proper divisors (76846796208).

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

28797442128 is a wasteful number, since it uses less digits than its factorization.

28797442128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 802 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 28797442128 in words is "twenty-eight billion, seven hundred ninety-seven million, four hundred forty-two thousand, one hundred twenty-eight".