83434428 has 192 divisors, whose sum is σ = 275251200. Its totient is φ = 21228480.

The previous prime is 83434399. The next prime is 83434433. The reversal of 83434428 is 82443438.

It is a super-2 number, since 2×83434428² = 13922607551374368, which contains 22 as substring.

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 = 83434392 and 83434401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 656901 + ... + 657027.

It is an arithmetic number, because the mean of its divisors is an integer number (1433600).

Almost surely, 2^83434428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83434428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137625600).

83434428 is an abundant number, since it is smaller than the sum of its proper divisors (191816772).

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

83434428 is a wasteful number, since it uses less digits than its factorization.

83434428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 83434428 is about 9134.2447963693. The cubic root of 83434428 is about 436.9667896432.

The spelling of 83434428 in words is "eighty-three million, four hundred thirty-four thousand, four hundred twenty-eight".