84028419090 has 320 divisors, whose sum is σ = 282539778048. Its totient is φ = 17408131200.

The previous prime is 84028419073. The next prime is 84028419091. The reversal of 84028419090 is 9091482048.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (84028419091) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22887955 + ... + 22891625.

Almost surely, 2^84028419090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84028419090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141269889024).

84028419090 is an abundant number, since it is smaller than the sum of its proper divisors (198511358958).

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

84028419090 is a wasteful number, since it uses less digits than its factorization.

84028419090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4075 (or 4066 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 84028419090 in words is "eighty-four billion, twenty-eight million, four hundred nineteen thousand, ninety".