28578132360 has 192 divisors, whose sum is σ = 96216822000. Its totient is φ = 7347701760.

The previous prime is 28578132311. The next prime is 28578132361. The reversal of 28578132360 is 6323187582.

28578132360 is a `hidden beast` number, since 2 + 8 + 578 + 13 + 2 + 3 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20065855716 + 8512276644 = 141654^2 + 92262^2 .

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 (28578132361) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9822586 + ... + 9825494.

Almost surely, 2^28578132360 is an apocalyptic number.

28578132360 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 28578132360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48108411000).

28578132360 is an abundant number, since it is smaller than the sum of its proper divisors (67638689640).

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

28578132360 is a wasteful number, since it uses less digits than its factorization.

28578132360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3896 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 28578132360 in words is "twenty-eight billion, five hundred seventy-eight million, one hundred thirty-two thousand, three hundred sixty".