90872428140 has 144 divisors (see below), whose sum is σ = 299477793888. Its totient is φ = 22170580992.

The previous prime is 90872428139. The next prime is 90872428147. The reversal of 90872428140 is 4182427809.

90872428140 is a `hidden beast` number, since 9 + 0 + 87 + 2 + 428 + 140 = 666.

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 (90872428147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92587 + ... + 436253.

It is an arithmetic number, because the mean of its divisors is an integer number (2079706902).

Almost surely, 2^90872428140 is an apocalyptic number.

90872428140 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90872428140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149738896944).

90872428140 is an abundant number, since it is smaller than the sum of its proper divisors (208605365748).

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

90872428140 is a wasteful number, since it uses less digits than its factorization.

90872428140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343808 (or 343803 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 90872428140 in words is "ninety billion, eight hundred seventy-two million, four hundred twenty-eight thousand, one hundred forty".