84428001 has 80 divisors (see below), whose sum is σ = 160997760. Its totient is φ = 42923520.

The previous prime is 84427999. The next prime is 84428051. The reversal of 84428001 is 10082448.

It is not a de Polignac number, because 84428001 - 2¹ = 84427999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (84428051) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 182911 + ... + 183371.

It is an arithmetic number, because the mean of its divisors is an integer number (2012472).

Almost surely, 2^84428001 is an apocalyptic number.

84428001 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

84428001 is a deficient number, since it is larger than the sum of its proper divisors (76569759).

84428001 is a wasteful number, since it uses less digits than its factorization.

84428001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 84428001 is about 9188.4710915364. The cubic root of 84428001 is about 438.6944790582.

The spelling of 84428001 in words is "eighty-four million, four hundred twenty-eight thousand, one".