420742728 has 64 divisors (see below), whose sum is σ = 1335696000. Its totient is φ = 120211776.

The previous prime is 420742723. The next prime is 420742739. The reversal of 420742728 is 827247024.

420742728 is a `hidden beast` number, since 4 + 207 + 427 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 420742692 and 420742701.

It is not an unprimeable number, because it can be changed into a prime (420742723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137623 + ... + 140646.

It is an arithmetic number, because the mean of its divisors is an integer number (20870250).

Almost surely, 2^420742728 is an apocalyptic number.

It is an amenable number.

420742728 is an abundant number, since it is smaller than the sum of its proper divisors (914953272).

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

420742728 is a wasteful number, since it uses less digits than its factorization.

420742728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278291 (or 278281 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 420742728 is about 20512.0142355645. The cubic root of 420742728 is about 749.3284228250.

The spelling of 420742728 in words is "four hundred twenty million, seven hundred forty-two thousand, seven hundred twenty-eight".