28934010000 has 825 divisors, whose sum is σ = 122233131471. Its totient is φ = 6613488000.

The previous prime is 28934009987. The next prime is 28934010041. The reversal of 28934010000 is 1043982.

The square root of 28934010000 is 170100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 2268426384 + 26665583616 = 47628^2 + 163296^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 164 ways as a sum of consecutive naturals, for example, 4133429997 + ... + 4133430003.

Almost surely, 2^28934010000 is an apocalyptic number.

28934010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28934010000 is the 170100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28934010000

28934010000 is an abundant number, since it is smaller than the sum of its proper divisors (93299121471).

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

28934010000 is an frugal number, since it uses more digits than its factorization.

28934010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 28934010000 its reverse (1043982), we get a palindrome (28935053982).

The spelling of 28934010000 in words is "twenty-eight billion, nine hundred thirty-four million, ten thousand".