83828970 has 48 divisors (see below), whose sum is σ = 221663520. Its totient is φ = 21974112.

The previous prime is 83828959. The next prime is 83828977. The reversal of 83828970 is 7982838.

It is a super-2 number, since 2×83828970² = 14054592422521800, which contains 22 as substring.

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 (83828977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2584 + ... + 13203.

It is an arithmetic number, because the mean of its divisors is an integer number (4617990).

Almost surely, 2^83828970 is an apocalyptic number.

83828970 is an abundant number, since it is smaller than the sum of its proper divisors (137834550).

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

83828970 is a wasteful number, since it uses less digits than its factorization.

83828970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15859 (or 15856 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 83828970 is about 9155.8161842623. The cubic root of 83828970 is about 437.6544782375.

The spelling of 83828970 in words is "eighty-three million, eight hundred twenty-eight thousand, nine hundred seventy".