84028400 has 30 divisors (see below), whose sum is σ = 201879192. Its totient is φ = 33611200.

The previous prime is 84028391. The next prime is 84028409. The reversal of 84028400 is 482048.

It is an interprime number because it is at equal distance from previous prime (84028391) and next prime (84028409).

It is a self number, because there is not a number n which added to its sum of digits gives 84028400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84028409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104636 + ... + 105435.

Almost surely, 2^84028400 is an apocalyptic number.

84028400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84028400 is an abundant number, since it is smaller than the sum of its proper divisors (117850792).

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

84028400 is a wasteful number, since it uses less digits than its factorization.

84028400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210089 (or 210078 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 84028400 is about 9166.7006059978. The cubic root of 84028400 is about 438.0012649130.

The spelling of 84028400 in words is "eighty-four million, twenty-eight thousand, four hundred".