28452695040 has 1188 divisors, whose sum is σ = 128602660368. Its totient is φ = 5912248320.

The previous prime is 28452695023. The next prime is 28452695057. The reversal of 28452695040 is 4059625482.

28452695040 is a `hidden beast` number, since 2 + 84 + 5 + 2 + 69 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28452695023) and next prime (28452695057).

It is a tau number, because it is divible by the number of its divisors (1188).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2586608635 + ... + 2586608645.

Almost surely, 2^28452695040 is an apocalyptic number.

28452695040 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 28452695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64301330184).

28452695040 is an abundant number, since it is smaller than the sum of its proper divisors (100149965328).

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

28452695040 is an frugal number, since it uses more digits than its factorization.

28452695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 28452695040 in words is "twenty-eight billion, four hundred fifty-two million, six hundred ninety-five thousand, forty".