90279526428 has 384 divisors, whose sum is σ = 298780016640. Its totient is φ = 22932357120.

The previous prime is 90279526417. The next prime is 90279526433. The reversal of 90279526428 is 82462597209.

90279526428 is a `hidden beast` number, since 9 + 0 + 2 + 79 + 526 + 42 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78299100 + ... + 78300252.

It is an arithmetic number, because the mean of its divisors is an integer number (778072960).

Almost surely, 2^90279526428 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 90279526428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149390008320).

90279526428 is an abundant number, since it is smaller than the sum of its proper divisors (208500490212).

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

90279526428 is a wasteful number, since it uses less digits than its factorization.

90279526428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 90279526428 in words is "ninety billion, two hundred seventy-nine million, five hundred twenty-six thousand, four hundred twenty-eight".