28903392000 has 1152 divisors, whose sum is σ = 125504870400. Its totient is φ = 6494515200.

The previous prime is 28903391999. The next prime is 28903392017. The reversal of 28903392000 is 29330982.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 489887971 + ... + 489888029.

It is an arithmetic number, because the mean of its divisors is an integer number (108945200).

Almost surely, 2^28903392000 is an apocalyptic number.

28903392000 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 28903392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62752435200).

28903392000 is an abundant number, since it is smaller than the sum of its proper divisors (96601478400).

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

28903392000 is an frugal number, since it uses more digits than its factorization.

28903392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

It can be divided in two parts, 28903 and 392000, that added together give a triangular number (420903 = T₉₁₇).

The spelling of 28903392000 in words is "twenty-eight billion, nine hundred three million, three hundred ninety-two thousand".