102828465 has 24 divisors (see below), whose sum is σ = 178557288. Its totient is φ = 54743040.

The previous prime is 102828421. The next prime is 102828487. The reversal of 102828465 is 564828201.

It can be written as a sum of positive squares in 4 ways, for example, as 2187441 + 100641024 = 1479^2 + 10032^2 .

It is not a de Polignac number, because 102828465 - 2¹⁵ = 102795697 is a prime.

It is a super-3 number, since 3×102828465³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28017 + ... + 31473.

It is an arithmetic number, because the mean of its divisors is an integer number (7439887).

Almost surely, 2^102828465 is an apocalyptic number.

102828465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102828465 is a deficient number, since it is larger than the sum of its proper divisors (75728823).

102828465 is a wasteful number, since it uses less digits than its factorization.

102828465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4129 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 102828465 is about 10140.4371207557. The cubic root of 102828465 is about 468.4944505736.

The spelling of 102828465 in words is "one hundred two million, eight hundred twenty-eight thousand, four hundred sixty-five".