42728878080 has 1248 divisors, whose sum is σ = 188248838400. Its totient is φ = 9141092352.

The previous prime is 42728878069. The next prime is 42728878133. The reversal of 42728878080 is 8087882724.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 514805719 + ... + 514805801.

Almost surely, 2^42728878080 is an apocalyptic number.

42728878080 is a gapful number since it is divisible by the number (40) 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 42728878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94124419200).

42728878080 is an abundant number, since it is smaller than the sum of its proper divisors (145519960320).

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

42728878080 is a wasteful number, since it uses less digits than its factorization.

42728878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The spelling of 42728878080 in words is "forty-two billion, seven hundred twenty-eight million, eight hundred seventy-eight thousand, eighty".