7928150400 has 480 divisors, whose sum is σ = 29728175400. Its totient is φ = 2080235520.

The previous prime is 7928150383. The next prime is 7928150411. The reversal of 7928150400 is 40518297.

7928150400 is a `hidden beast` number, since 79 + 2 + 81 + 504 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18921391 + ... + 18921809.

Almost surely, 2^7928150400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7928150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14864087700).

7928150400 is an abundant number, since it is smaller than the sum of its proper divisors (21800025000).

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

7928150400 is a wasteful number, since it uses less digits than its factorization.

7928150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 7928150400 is about 89040.1617249205. The cubic root of 7928150400 is about 1993.9945184786.

Adding to 7928150400 its reverse (40518297), we get a palindrome (7968668697).

The spelling of 7928150400 in words is "seven billion, nine hundred twenty-eight million, one hundred fifty thousand, four hundred".