28930429440 has 480 divisors, whose sum is σ = 110023797312. Its totient is φ = 6967296000.

The previous prime is 28930429433. The next prime is 28930429483. The reversal of 28930429440 is 4492403982.

It is a happy number.

28930429440 is a `hidden beast` number, since 289 + 304 + 29 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 53475570 + ... + 53476110.

Almost surely, 2^28930429440 is an apocalyptic number.

28930429440 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 28930429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55011898656).

28930429440 is an abundant number, since it is smaller than the sum of its proper divisors (81093367872).

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

28930429440 is a wasteful number, since it uses less digits than its factorization.

28930429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 28930429440 in words is "twenty-eight billion, nine hundred thirty million, four hundred twenty-nine thousand, four hundred forty".