42451728 has 160 divisors (see below), whose sum is σ = 128241792. Its totient is φ = 11980800.

The previous prime is 42451709. The next prime is 42451733. The reversal of 42451728 is 82715424.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 800950 + ... + 801002.

Almost surely, 2^42451728 is an apocalyptic number.

42451728 is a gapful number since it is divisible by the number (48) 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 42451728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64120896).

42451728 is an abundant number, since it is smaller than the sum of its proper divisors (85790064).

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

42451728 is a wasteful number, since it uses less digits than its factorization.

42451728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 42451728 is about 6515.4990599339. The cubic root of 42451728 is about 348.8444283810.

The spelling of 42451728 in words is "forty-two million, four hundred fifty-one thousand, seven hundred twenty-eight".