28002723840 has 1440 divisors, whose sum is σ = 128111223240. Its totient is φ = 5796790272.

The previous prime is 28002723823. The next prime is 28002723857. The reversal of 28002723840 is 4832720082.

28002723840 is a `hidden beast` number, since 2 + 8 + 0 + 0 + 272 + 384 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28002723823) and next prime (28002723857).

It can be written as a sum of positive squares in 4 ways, for example, as 20487914496 + 7514809344 = 143136^2 + 86688^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 28002723795 and 28002723804.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 528353254 + ... + 528353306.

Almost surely, 2^28002723840 is an apocalyptic number.

28002723840 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 28002723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64055611620).

28002723840 is an abundant number, since it is smaller than the sum of its proper divisors (100108499400).

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

28002723840 is a wasteful number, since it uses less digits than its factorization.

28002723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 28002723840 in words is "twenty-eight billion, two million, seven hundred twenty-three thousand, eight hundred forty".