28938740400 has 600 divisors, whose sum is σ = 113164669200. Its totient is φ = 7054387200.

The previous prime is 28938740353. The next prime is 28938740491. The reversal of 28938740400 is 404783982.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17851590 + ... + 17853210.

It is an arithmetic number, because the mean of its divisors is an integer number (188607782).

Almost surely, 2^28938740400 is an apocalyptic number.

28938740400 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 28938740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56582334600).

28938740400 is an abundant number, since it is smaller than the sum of its proper divisors (84225928800).

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

28938740400 is a wasteful number, since it uses less digits than its factorization.

28938740400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1679 counting only the distinct ones).

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

The spelling of 28938740400 in words is "twenty-eight billion, nine hundred thirty-eight million, seven hundred forty thousand, four hundred".