90128629 has 2 divisors, whose sum is σ = 90128630. Its totient is φ = 90128628.

The previous prime is 90128627. The next prime is 90128639. The reversal of 90128629 is 92682109.

90128629 = T₇₇₅₀ + T₇₇₅₁ + T₇₇₅₂.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87796900 + 2331729 = 9370^2 + 1527^2 .

It is a cyclic number.

It is not a de Polignac number, because 90128629 - 2¹ = 90128627 is a prime.

Together with 90128627, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90128627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45064314 + 45064315.

It is an arithmetic number, because the mean of its divisors is an integer number (45064315).

Almost surely, 2^90128629 is an apocalyptic number.

90128629 is the 7752-nd centered triangular number.

It is an amenable number.

90128629 is a deficient number, since it is larger than the sum of its proper divisors (1).

90128629 is an equidigital number, since it uses as much as digits as its factorization.

90128629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 90128629 is about 9493.6099035088. The cubic root of 90128629 is about 448.3538688081.

The spelling of 90128629 in words is "ninety million, one hundred twenty-eight thousand, six hundred twenty-nine".