28778928998400 has 3456 divisors, whose sum is σ = 131982177600000. Its totient is φ = 6110039900160.

The previous prime is 28778928998387. The next prime is 28778928998411. The reversal of 28778928998400 is 489982987782.

28778928998400 is a `hidden beast` number, since 28 + 7 + 7 + 89 + 28 + 9 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a self number, because there is not a number n which added to its sum of digits gives 28778928998400.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 75933849411 + ... + 75933849789.

It is an arithmetic number, because the mean of its divisors is an integer number (38189287500).

Almost surely, 2^{28778928998400} is an apocalyptic number.

28778928998400 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 28778928998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65991088800000).

28778928998400 is an abundant number, since it is smaller than the sum of its proper divisors (103203248601600).

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

28778928998400 is a wasteful number, since it uses less digits than its factorization.

28778928998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 2341011456, while the sum is 81.

The spelling of 28778928998400 in words is "twenty-eight trillion, seven hundred seventy-eight billion, nine hundred twenty-eight million, nine hundred ninety-eight thousand, four hundred".