42728480 has 96 divisors (see below), whose sum is σ = 111694464. Its totient is φ = 15364096.

The previous prime is 42728479. The next prime is 42728507. The reversal of 42728480 is 8482724.

It is a super-2 number, since 2×42728480² = 3651446006220800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42728480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62219 + ... + 62901.

It is an arithmetic number, because the mean of its divisors is an integer number (1163484).

Almost surely, 2^42728480 is an apocalyptic number.

42728480 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 42728480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55847232).

42728480 is an abundant number, since it is smaller than the sum of its proper divisors (68965984).

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

42728480 is a wasteful number, since it uses less digits than its factorization.

42728480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 42728480 is about 6536.7025326230. The cubic root of 42728480 is about 349.6008510959.

The spelling of 42728480 in words is "forty-two million, seven hundred twenty-eight thousand, four hundred eighty".