28398740400 has 480 divisors, whose sum is σ = 105058672640. Its totient is φ = 7278336000.

The previous prime is 28398740371. The next prime is 28398740411. The reversal of 28398740400 is 404789382.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 90730644 + ... + 90730956.

Almost surely, 2^28398740400 is an apocalyptic number.

28398740400 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 28398740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52529336320).

28398740400 is an abundant number, since it is smaller than the sum of its proper divisors (76659932240).

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

28398740400 is a wasteful number, since it uses less digits than its factorization.

28398740400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 28398740400 in words is "twenty-eight billion, three hundred ninety-eight million, seven hundred forty thousand, four hundred".