28762398000 has 320 divisors, whose sum is σ = 117753891840. Its totient is φ = 6574176000.

The previous prime is 28762397969. The next prime is 28762398001. The reversal of 28762398000 is 89326782.

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 (28762398001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 339955 + ... + 416045.

It is an arithmetic number, because the mean of its divisors is an integer number (367980912).

Almost surely, 2^28762398000 is an apocalyptic number.

28762398000 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 28762398000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58876945920).

28762398000 is an abundant number, since it is smaller than the sum of its proper divisors (88991493840).

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

28762398000 is a wasteful number, since it uses less digits than its factorization.

28762398000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76130 (or 76108 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 28762398000 in words is "twenty-eight billion, seven hundred sixty-two million, three hundred ninety-eight thousand".