10362028032 has 220 divisors, whose sum is σ = 31465661106. Its totient is φ = 3397386240.

The previous prime is 10362027983. The next prime is 10362028051. The reversal of 10362028032 is 23082026301.

10362028032 is a `hidden beast` number, since 1 + 0 + 3 + 620 + 2 + 8 + 0 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10277093376 + 84934656 = 101376^2 + 9216^2 .

It is a super-3 number, since 3×10362028032³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10362027987 and 10362028005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 169869282 + ... + 169869342.

Almost surely, 2^10362028032 is an apocalyptic number.

10362028032 is a gapful number since it is divisible by the number (12) 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 10362028032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15732830553).

10362028032 is an abundant number, since it is smaller than the sum of its proper divisors (21103633074).

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

10362028032 is an frugal number, since it uses more digits than its factorization.

10362028032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10362028032 in words is "ten billion, three hundred sixty-two million, twenty-eight thousand, thirty-two".