28619370000 has 600 divisors, whose sum is σ = 109825163448. Its totient is φ = 6912000000.

The previous prime is 28619369941. The next prime is 28619370011. The reversal of 28619370000 is 7391682.

28619370000 is a `hidden beast` number, since 2 + 8 + 619 + 37 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 28559648016 + 59721984 = 168996^2 + 7728^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 71369800 + ... + 71370200.

Almost surely, 2^28619370000 is an apocalyptic number.

28619370000 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 28619370000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54912581724).

28619370000 is an abundant number, since it is smaller than the sum of its proper divisors (81205793448).

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

28619370000 is a wasteful number, since it uses less digits than its factorization.

28619370000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 28619370000 in words is "twenty-eight billion, six hundred nineteen million, three hundred seventy thousand".