28152689040 has 240 divisors, whose sum is σ = 108165922176. Its totient is φ = 6428160000.

The previous prime is 28152689023. The next prime is 28152689041. The reversal of 28152689040 is 4098625182.

28152689040 is a `hidden beast` number, since 2 + 8 + 1 + 526 + 89 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×28152689040² (a number of 22 digits) contains 22 as substring.

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 (28152689041) 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, 6050715 + ... + 6055365.

Almost surely, 2^28152689040 is an apocalyptic number.

28152689040 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 28152689040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54082961088).

28152689040 is an abundant number, since it is smaller than the sum of its proper divisors (80013233136).

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

28152689040 is a wasteful number, since it uses less digits than its factorization.

28152689040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5878 (or 5869 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 28152689040 in words is "twenty-eight billion, one hundred fifty-two million, six hundred eighty-nine thousand, forty".