28419211620 has 288 divisors, whose sum is σ = 93617596800. Its totient is φ = 6955573248.

The previous prime is 28419211603. The next prime is 28419211621. The reversal of 28419211620 is 2611291482.

28419211620 is a `hidden beast` number, since 2 + 8 + 4 + 1 + 9 + 21 + 1 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28419211621) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15043636 + ... + 15045524.

It is an arithmetic number, because the mean of its divisors is an integer number (325061100).

Almost surely, 2^28419211620 is an apocalyptic number.

28419211620 is a gapful number since it is divisible by the number (20) 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 28419211620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46808798400).

28419211620 is an abundant number, since it is smaller than the sum of its proper divisors (65198385180).

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

28419211620 is a wasteful number, since it uses less digits than its factorization.

28419211620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 28419211620 in words is "twenty-eight billion, four hundred nineteen million, two hundred eleven thousand, six hundred twenty".