28019815824 has 480 divisors, whose sum is σ = 99629623296. Its totient is φ = 6670218240.

The previous prime is 28019815787. The next prime is 28019815861. The reversal of 28019815824 is 42851891082.

It is an interprime number because it is at equal distance from previous prime (28019815787) and next prime (28019815861).

It is a super-2 number, since 2×28019815824² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76348089 + ... + 76348455.

Almost surely, 2^28019815824 is an apocalyptic number.

28019815824 is a gapful number since it is divisible by the number (24) 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 28019815824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49814811648).

28019815824 is an abundant number, since it is smaller than the sum of its proper divisors (71609807472).

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

28019815824 is a wasteful number, since it uses less digits than its factorization.

28019815824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The spelling of 28019815824 in words is "twenty-eight billion, nineteen million, eight hundred fifteen thousand, eight hundred twenty-four".